Daniele Ritelli

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All published works
Action Title Year Authors
+ Sharp Second-Order Hankel Determinants Bounds for Alpha-Convex Functions Connected with Modified Sigmoid Functions 2024 Muhammad Abbas
Reem K. Alhefthi
Daniele Ritelli
Muhammad Arif
+ PDF Chat A Five-Step Block Method Coupled with Symmetric Compact Finite Difference Scheme for Solving Time-Dependent Partial Differential Equations 2024 Komalpreet Kaur
Gurjinder Singh
Daniele Ritelli
+ Exact time–integral inversion via ČebyĆĄĂ«v quintic approximations for nonlinear oscillators 2023 Martina Boschi
Daniele Ritelli
Giulia Spaletta
+ PDF Chat A Structural Approach to Gudermannian Functions 2023 Alessandro Gambini
Giorgio Nicoletti
Daniele Ritelli
+ PDF Chat The Wallis Products for Fermat Curves 2023 Alessandro Gambini
Giorgio Nicoletti
Daniele Ritelli
+ Review of: "Relations between e, π and golden ratios" 2023 Daniele Ritelli
+ Fuzzy Esscher changes of measure and copula invariance in LĂ©vy markets 2023 Enrico Bernardi
Daniele Ritelli
Silvia Romagnoli
+ PDF Chat Connections between normalized Wright functions with families of analytic functions with negative coefficients 2022 Santosh B. Joshi
Sayali S. Joshi
Haridas Pawar
Daniele Ritelli
+ PDF Chat Explicit Solution for a Family of Hermann Riccati Differential Equations 2022 Daniele Ritelli
+ Nonlinear oscillators via ČebyĆĄĂ«v quintic approximations 2022 Martina Boschi
Daniele Ritelli
Giulia Spaletta
+ PDF Chat A Forgotten Differential Equation Studied by Jacopo Riccati Revisited in Terms of Lie Symmetries 2021 Daniele Ritelli
+ Trinomial equation: the Hypergeometric way 2021 Daniele Ritelli
Giulia Spaletta
+ The Lambert function, the quintic equation and the proactive discovery of the Implicit Function Theorem 2021 Silvia Foschi
Daniele Ritelli
+ PDF Chat Keplerian trigonometry 2021 Alessandro Gambini
Giorgio Nicoletti
Daniele Ritelli
+ Generalized Logistic Equations in Covid-Related Epidemic Models 2021 Daniele Ritelli
+ PDF Chat Hypergeometric Identities Related to Roberts Reductions of Hyperelliptic Integrals 2020 Santosh B. Joshi
Daniele Ritelli
+ PDF Chat Identities for Catalan’s Constant Arising from Integrals Depending on a Parameter 2020 Federica Ferretti
Alessandro Gambini
Daniele Ritelli
+ Special Functions and Their Link with Nonlinear Rod Theory 2020 Giovanni Mingari Scarpello
Daniele Ritelli
+ Identities for Catalan's constant arising from integrals depending on a parameter 2020 Federica Ferretti
Alessandro Gambini
Daniele Ritelli
+ Multidimensional differential calculus 2020 Daniele Ritelli
Giulia Spaletta
+ Linear differential equations of second order 2020 Daniele Ritelli
Giulia Spaletta
+ Radon–Nikodym theorem 2020 Daniele Ritelli
Giulia Spaletta
+ Ordinary differential equations of first order: methods for explicit solutions 2020 Daniele Ritelli
Giulia Spaletta
+ Ordinary differential equations of first order: general theory 2020 Daniele Ritelli
Giulia Spaletta
+ Sequences and series of functions 2020 Daniele Ritelli
Giulia Spaletta
+ Fourier transform on the real line 2020 Daniele Ritelli
Giulia Spaletta
+ Euclidean space 2020 Daniele Ritelli
Giulia Spaletta
+ Multiple integrals 2020 Daniele Ritelli
Giulia Spaletta
+ Identities for Catalan's constant arising from integrals depending on a parameter 2020 Federica Ferretti
Alessandro Gambini
Daniele Ritelli
+ Johann Bernoulli's first lecture from the first integral calculus textbook ever written: an annotated translation 2018 Giovanni Mingari Scarpello
Daniele Ritelli
+ Aircraft planar trajectories in crosswind navigation: some hypergeometric solutions 2018 Giovanni Mingari Scarpello
Daniele Ritelli
Giulia Spaletta
+ PDF Chat Motions about a fixed point by hypergeometric functions: new non-complex analytical solutions and integration of the herpolhode 2018 Giovanni Mingari Scarpello
Daniele Ritelli
+ On a class of new hypergeometric transformations 2018 Giovanni Mingari Scarpello
Daniele Ritelli
+ PDF Chat Evaluation of harmonic sums with integrals 2018 Vivek Kaushik
Daniele Ritelli
+ PDF Chat Hypergeometric solutions to a three dimensional dissipative oscillator driven by aperiodic forces 2017 Alessio Bocci
Giovanni Mingari Scarpello
Daniele Ritelli
+ Hypergeometric solutions to a three dimensional dissipative oscillator driven by aperiodic forces 2016 Alessio Bocci
Giovanni Mingari Scarpello
Daniele Ritelli
+ Unsteady rotating laminar flow: analytical solution of relevant Navier-Stokes equations 2016 Alessio Bocci
Giovanni Mingari Scarpello
Daniele Ritelli
+ PDF Chat CLOSED-FORM SOLUTION TO AN ECONOMIC GROWTH LOGISTIC MODEL WITH CONSTANT MIGRATION 2016 JoĂŁo PlĂ­nio Juchem Neto
Julio Cesar Ruiz Claeyssen
Daniele Ritelli
Giovanni Mingari Scarpello
+ PDF Chat Certain new unified integrals associated with the product of generalized Bessel functions 2016 Praveen Agarwal
Daniele Ritelli
Adem Kılıçman
Shilpi Jain
+ Unsteady rotating laminar flow: analytical solution of Navier-Stokes equations 2016 Alessio Bocci
Giovanni Mingari Scarpello
Daniele Ritelli
+ Hypergeometric solutions to a three dimensional dissipative oscillator driven by aperiodic forces 2016 A. Bocci
Giovanni Mingari Scarpello
Daniele Ritelli
+ PDF Chat Closed-Form Solution for the Solow Model with Constant Migration 2015 JoĂŁo PlĂ­nio Juchem Neto
Julio Cesar Ruiz Claeyssen
Daniele Ritelli
Giovanni Mingari Scarpello
+ New hypergeometric formulae to $\pi$ arising from M. Roberts hyperelliptic reductions 2015 Giovanni Mingari Scarpello
Daniele Ritelli
+ A hypergeometric treatment to explain the nonlinear true behavior of redundant constraints on a straight elastic rod 2015 Giovanni Mingari Scarpello
Daniele Ritelli
+ PDF Chat Some new inequalities involving generalized Erdelyi-Kober fractional q-integral operator 2015 Junesang Choi
Daniele Ritelli
Praveen Agarwal
+ A hypergeometric treatment to explain the nonlinear true behavior of redundant constraints on a straight elastic rod 2015 Giovanni Mingari Scarpello
Daniele Ritelli
+ New hypergeometric formulae to $π$ arising from M. Roberts hyperelliptic reductions 2015 Giovanni Mingari Scarpello
Daniele Ritelli
+ On computing some special values of multivariate hypergeometric functions 2014 Giovanni Mingari Scarpello
Daniele Ritelli
+ On some new inequalities involving generalized Erd\'elyi-Kober fractional $q$-integral operator 2014 Daniele Ritelli
Praveen Agarwal
+ PDF Chat Some limits of sequences of Euler Mascheroni kind 2014 Daniele Ritelli
Calogero Salvatore Siracusa
+ On some new inequalities involving generalized Erdélyi-Kober fractional $q$-integral operator 2014 Daniele Ritelli
Praveen Agarwal
+ Legendre hyperelliptic integrals, π new formulae and Lauricella functions through the elliptic singular moduli 2013 Giovanni Mingari Scarpello
Daniele Ritelli
+ Actuarial values calculated using the incomplete Gamma function 2013 Giovanni Mingari Scarpello
Daniele Ritelli
Dario Spelta
+ PDF Chat Another Proof of <tex-math> ${\zeta(2)=\frac{\pi^2}{6}}$ </tex-math> Using Double Integrals 2013 Daniele Ritelli
+ Legendre Hyperelliptic integrals, {\pi} new formulae and Lauricella functions through the elliptic singular moduli 2012 Giovanni Mingari Scarpello
Daniele Ritelli
+ Another proof of $\displaystyle\boldsymbol{\zeta(2)=\frac{\pi^2}{6}}$ using double integrals 2012 Daniele Ritelli
+ The hyperbola rectification from Maclaurin to Landen and the Lagrange-Legendre transformation for the elliptic integrals 2012 Giovanni Mingari Scarpello
Daniele Ritelli
Aldo Scimone
+ Probability of digits by dividing random numbers: A <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si4.gif" display="inline" overflow="scroll"><mml:mi>ψ</mml:mi></mml:math> and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si5.gif" display="inline" overflow="scroll"><mml:mi>ζ</mml:mi></mml:math> functions approach 2012 Alessandro Gambini
Giovanni Mingari Scarpello
Daniele Ritelli
+ A Thin Heavy Flagpole Bent under a Transverse Wind: its Elastica by Hypergeometric Functions 2012 Giovanni Mingari Scarpello
Daniele Ritelli
+ 6 using double integrals 2012 Daniele Ritelli
+ Legendre Hyperelliptic integrals, π new formulae and Lauricella functions through the elliptic singular moduli 2012 Giovanni Mingari Scarpello
Daniele Ritelli
+ Another proof of $\displaystyle\boldsymbol{ζ(2)=\frac{π^2}{6}}$ using double integrals 2012 Daniele Ritelli
+ Closed form integration of a hyperelliptic, odd powers, undamped oscillator 2011 Giovanni Mingari Scarpello
Daniele Ritelli
+ π and the hypergeometric functions of complex argument 2011 Giovanni Mingari Scarpello
Daniele Ritelli
+ PDF Chat Optimal Trading Execution with Nonlinear Market Impact: An Alternative Solution Method 2011 Massimiliano Marzo
Daniele Ritelli
Paolo Zagaglia
+ Esercizi sul Teorema di Fubini 2010 Daniele Ritelli
+ Closed form solutions to generalized logistic-type nonautonomous systems 2010 Giovanni Mingari Scarpello
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Daniele Ritelli
+ The hyperelliptic integrals and π 2009 Giovanni Mingari Scarpello
Daniele Ritelli
+ Migration in a Solow Growth Model 2009 JoĂŁo PlĂ­nio Juchem Neto
Julio Cesar Ruiz Claeyssen
Daniele Ritelli
Giovanni Mingari Scarpello
+ Closed form solutions to generalized logistic-type nonautonomous systems 2009 Giovanni Mingari Scarpello
ĐŃ€ŃĐ”Đœ ĐŸĐ°Đ»Đ”ŃŃ‚ĐžĐœĐž
Daniele Ritelli
+ The Goodwin cycle improved with generalized wages: phase portrait, periodic behaviour 2007 Giovanni Mingari Scarpello
Daniele Ritelli
+ Dynamical analysis of a demand governed market in relation to innovative commodities 2007 Giancarlo Barbiroli
ĐŃ€ŃĐ”Đœ ĐŸĐ°Đ»Đ”ŃŃ‚ĐžĐœĐž
Daniele Ritelli
+ PDF Chat Circular motion of a particle under friction and hydraulic dissipation 2005 Giovanni Mingari Scarpello
Daniele Ritelli
+ A nonlinear boundary problem by the inventory’s optimization of a productive system with not wholly quadratic costs 2005 Giovanni Mingari Scarpello
Daniele Ritelli
+ PDF Chat Higher Order Approximation of the Period-energy Function for Single Degree of Freedom Hamiltonian Systems 2004 Simone Foschi
Giovanni Mingari Scarpello
Daniele Ritelli
+ PDF Chat Closed form integration of the rotating plane pendulum nonlinear equation 2003 Giovanni Mingari Scarpello
Daniele Ritelli
+ A New Method for the Explicit Integration of Lotka-Volterra Equations 2003 Un Nuevo
Giovanni Mingari Scarpello
Daniele Ritelli
+ A historical outline of the theorem of implicit functions. 2002 Giovanni Mingari Scarpello
Daniele Ritelli
Common Coauthors
Commonly Cited References
Action Title Year Authors # of times referenced
+ Table of Integrals, Series, and Products 1980 11
+ Handbook of Elliptic Integrals for Engineers and Scientists 1971 Paul F. Byrd
Morris D. Friedman
10
+ <i>Generalized Hypergeometric Functions</i> 1967 L. J. Slater
Werner C. Rheinboldt
10
+ PDF Chat Handbook of Elliptic Integrals for Engineers and Scientists 1972 Y. L. L.
Paul F. Byrd
Morris D. Friedman
9
+ Sulle funzioni ipergeometriche a piu variabili 1893 Giuseppe Lauricella
8
+ The hyperelliptic integrals and π 2009 Giovanni Mingari Scarpello
Daniele Ritelli
8
+ Generalized Hypergeometric Functions 1966 Y. L. L.
L. J. Slater
8
+ Multiple Hypergeometric Functions and Applications 1977 J. E. J.
Harold Exton
7
+ A Course of Modern Analysis 1996 E. T. Whittaker
G. N. Watson
5
+ Multiple Hypergeometric Functions and Applications 1977 W. R. Buckland
H. Exton
4
+ PDF Chat Zeta and q-Zeta Functions and Associated Series and Integrals 2012 H. M. Srivastava
June-Sang Choi
4
+ Introduction to Nonlinear Differential and Integral Equations. 1964 P. E. Bedient
Harold T. Davis
4
+ π and the hypergeometric functions of complex argument 2011 Giovanni Mingari Scarpello
Daniele Ritelli
4
+ The early history of the hypergeometric function 1984 Jacques Dutka
4
+ <i>Integrals of Bessel Functions</i> 1963 Yudell L. Luke
J. Gillis
4
+ PDF Chat Hypergeometric functions and their applications 1992 James B. Seaborn
4
+ PDF Chat Higher Order Approximation of the Period-energy Function for Single Degree of Freedom Hamiltonian Systems 2004 Simone Foschi
Giovanni Mingari Scarpello
Daniele Ritelli
3
+ On Epstein's Zeta-function. 1967 S. Chowla
Atle Selberg
3
+ The Cauchy-Schlomilch transformation 2010 Tewodros Amdeberhan
M. L. Glasser
M. C. Jones
Victor H. Moll
R. Posey
D. Varela
3
+ PDF Chat Eigenvalues, Embeddings and Generalised Trigonometric Functions 2011 JĂĄn Lang
D. E. Edmunds
3
+ Fonctions hypergéométriques et hypersphériques : polynomes d'Hermite 1926 Paul Appell
J. Kampé de Fériet
3
+ A Note on the Irrationality of ζ(2) and ζ(3) 1979 Frits Beukers
3
+ Elliptic functions applied to conformal world maps 1925 Oscar S. Adams
3
+ Gamma: exploring Euler's constant 2003 3
+ Theory and Application of Infinite Series 1972 Konrad Knopp
3
+ Squigonometry, Hyperellipses, and Supereggs 2016 Robert D. Poodiack
3
+ On the Roots of the Bessel and Certain Related Functions 1894 James McMahon
3
+ On computing some special values of multivariate hypergeometric functions 2014 Giovanni Mingari Scarpello
Daniele Ritelli
3
+ Probabilistically Proving that ζ(2) = π&lt;sup&gt;2&lt;/sup&gt;⁄6 2011 Luigi Pace
3
+ Squigonometry 2011 William E. Wood
3
+ Certain fractional <i>q</i>-integrals and <i>q</i>-derivatives 1969 Ravi P. Agarwal
2
+ PDF Chat Circular motion of a particle under friction and hydraulic dissipation 2005 Giovanni Mingari Scarpello
Daniele Ritelli
2
+ Legendre hyperelliptic integrals, π new formulae and Lauricella functions through the elliptic singular moduli 2013 Giovanni Mingari Scarpello
Daniele Ritelli
2
+ Handbook of Elliptic Integrals for Engineers and Physicists 1954 Paul F. Byrd
Morris D. Friedman
2
+ DYNAMICS OF LOGISTIC EQUATIONS WITH NON-AUTONOMOUS BOUNDED COEFFICIENTS 2000 M. N. Nkashama
2
+ PDF Chat Properties and Applications of Extended Hypergeometric Functions 2014 Daya K. Nagar
RaĂșl Alejandro MorĂĄn‐VĂĄsquez
Arjun Gupta
2
+ PDF Chat A closed form evaluation of the elliptic integral 1971 M. L. Glasser
Van E. Wood
2
+ PDF Chat A class of series acceleration formulae for Catalan's constant 1999 David M. Bradley
2
+ Series representations in the spirit of Ramanujan 2013 Emre Alkan
2
+ Ramanujan’s Notebooks: Part V 1997 Bruce C. Berndt
2
+ A Treatise on the Theory of Bessel Functions. 1923 Matthew Porter
G. N. Watson
2
+ PDF Chat Precise analytic treatment of Kerr and Kerr-(anti) de Sitter black holes as gravitational lenses 2011 G. V. Kraniotis
2
+ Some properties of Catalan's constant G 1992 Sheldon Yang
2
+ PDF Chat A Certain Series Associated with Catalan’s Constant 2002 Victor Adamchik
2
+ Fast evaluation of the gamma function for small rational fractions using complete elliptic integrals of the first kind 1992 Jonathan M. Borwein
I. J. Zucker
2
+ PDF Chat Measure, Integral and Probability 2004 Marek CapiƄski
Peter Ekkehard Kopp
2
+ Moments of RamanujanÊŒs generalized elliptic integrals and extensions of CatalanÊŒs constant 2011 David Borwein
Jonathan M. Borwein
M. L. Glasser
J. G. Wan
2
+ PDF Chat Frame dragging and bending of light in Kerr and Kerr–(anti) de Sitter spacetimes 2005 G. V. Kraniotis
2
+ PDF Chat Fractional Quantum Integral Inequalities 2011 Hasan Ă–ÄŸĂŒnmez
UmutMutlu Özkan
2
+ The evaluation in terms of Γ-functions of the periods of elliptic curves admitting complex multiplication 1977 I. J. Zucker
2