Ranjan Roy

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All published works

Action	Title	Year	Authors
+	Series and Products in the Development of Mathematics	2021	Ranjan Roy
+	Operator Calculus and Algebraic Analysis	2021	Ranjan Roy
+	Series and Products in the Development of Mathematics	2021	Ranjan Roy
+	The <i>η</i> Function and Dedekind Sums	2017	Ranjan Roy
+	Dedekind's Paper on Modular Functions	2017	Ranjan Roy
+	Modular Forms and Invariant Theory	2017	Ranjan Roy
+	Sums of Squares	2017	Ranjan Roy
+	Hermite's Transformation of Theta Functions	2017	Ranjan Roy
+	Elliptic and Modular Functions from Gauss to Dedekind to Hecke	2017	Ranjan Roy
+	Abel and Jacobi on Elliptic Functions	2017	Ranjan Roy
+	The Theory of Modular Forms as Reworked by Hurwitz	2017	Ranjan Roy
+	The Hecke Operators	2017	Ranjan Roy
+	Complex Variables and Elliptic Functions	2017	Ranjan Roy
+	Dirichlet Series and Modular Forms	2017	Ranjan Roy
+	Gauss's Contributions to Modular Forms	2017	Ranjan Roy
+	Ramanujan's Euler Products and Modular Forms	2017	Ranjan Roy
+	Integration of Rational Functions	2011	Ranjan Roy
+	Power Series in Fifteenth-Century Kerala	2011	Ranjan Roy
+	Orthogonal Polynomials	2011	Ranjan Roy
+	Symmetric Functions	2011	Ranjan Roy
+	Elliptic Functions: Eighteenth Century	2011	Ranjan Roy
+	The Hypergeometric Series	2011	Ranjan Roy
+	Trigonometric Series after 1830	2011	Ranjan Roy
+	The Binomial Theorem	2011	Ranjan Roy
+	Univalent Functions	2011	Ranjan Roy
+	Algebraic Analysis: The Calculus of Operations	2011	Ranjan Roy
+	Infinite Product of Wallis	2011	Ranjan Roy
+	Primes in Arithmetic Progressions	2011	Ranjan Roy
+	Finite Fields	2011	Ranjan Roy
+	Sums of Powers of Integers	2011	Ranjan Roy
+	<i>q</i>-Series and <i>q</i>-Orthogonal Polynomials	2011	Ranjan Roy
+	The Taylor Series	2011	Ranjan Roy
+	De Analysi per Aequationes Infinitas	2011	Ranjan Roy
+	<i>L</i>-Series	2011	Ranjan Roy
+	<i>q</i>-Series	2011	Ranjan Roy
+	Difference Equations	2011	Ranjan Roy
+	Solution of Equations by Radicals	2011	Ranjan Roy
+	Summability	2011	Ranjan Roy
+	Fourier Series	2011	Ranjan Roy
+	Geometric Calculus	2011	Ranjan Roy
+	Irrational and Transcendental Numbers	2011	Ranjan Roy
+	The Asymptotic Series for ln Γ<i>(x)</i>	2011	Ranjan Roy
+	Series Transformation by Finite Differences	2011	Ranjan Roy
+	Finite Differences: Interpolation and Quadrature	2011	Ranjan Roy
+ PDF Chat	Calculus of Several Variables	2011	Ranjan Roy
+	Distribution of Primes: Early Results	2011	Ranjan Roy
+	The Gamma Function	2011	Ranjan Roy
+	Elliptic Functions: Nineteenth Century	2011	Ranjan Roy
+ PDF Chat	The Euler–Maclaurin Summation Formula	2011	Ranjan Roy
+	Series and Products for Elementary Functions	2011	Ranjan Roy
+	The Calculus of Newton and Leibniz	2011	Ranjan Roy
+	Invariant Theory: Cayley and Sylvester	2011	Ranjan Roy
+	Sources in the Development of Mathematics (Series and Products from the Fifteenth to the Twenty-first Century)	2011	Ranjan Roy
+	Primes in Arithmetic Progressions	2008	Ranjan Roy
+	Euler Through Time: A New Look at Old Themes by V. S. Varadarajan.	2008	Ranjan Roy
+	The Discovery of the Series Formula for π by Leibniz, Gregory and Nilakantha	2004	Ranjan Roy
+ PDF Chat	Book Review: Complex analysis, fundamentals of the classical theory of functions	2001	Ranjan Roy
+	The Discovery of the Series Formula for π by Leibniz, Gregory and Nilakantha	2000	Ranjan Roy
+	Introduction to <i>q</i>-Series	1999	George E. Andrews Richard Askey Ranjan Roy
+ PDF Chat	Euler–Maclaurin Summation Formula	1999	George E. Andrews Richard Askey Ranjan Roy
+	Bessel Functions and Confluent Hypergeometric Functions	1999	George E. Andrews Richard Askey Ranjan Roy
+	The Gamma and Beta Functions	1999	George E. Andrews Richard Askey Ranjan Roy
+	Orthogonal Polynomials	1999	George E. Andrews Richard Askey Ranjan Roy
+ PDF Chat	Topics in Orthogonal Polynomials	1999	George E. Andrews Richard Askey Ranjan Roy
+	Series Solutions of Differential Equations	1999	George E. Andrews Richard Askey Ranjan Roy
+	Special Orthogonal Polynomials	1999	George E. Andrews Richard Askey Ranjan Roy
+	Summability and Fractional Integration	1999	George E. Andrews Richard Askey Ranjan Roy
+	Lagrange Inversion Formula	1999	George E. Andrews Richard Askey Ranjan Roy
+	The Hypergeometric Functions	1999	George E. Andrews Richard Askey Ranjan Roy
+	Special Functions	1999	George E. Andrews Richard Askey Ranjan Roy
+	The Selberg Integral and Its Applications	1999	George E. Andrews Richard Askey Ranjan Roy
+ PDF Chat	Ramanujan's Method in q-Series Congruences	1996	George E. Andrews Ranjan Roy
+	THE WORK OF CHEBYSHEV ON ORTHOGONAL POLYNOMIALS	1993	Ranjan Roy
+	The Discovery of the Series Formula for π by Leibniz, Gregory and Nilakantha	1990	Ranjan Roy
+	The Discovery of the Series Formula for π by Leibniz, Gregory and Nilakantha	1990	Ranjan Roy
+	Basic Hypergeometric Series and Applications.	1990	Ranjan Roy N. J. Fine
+	<i>Basic Hypergeometric Series and Applications</i>. By Nathan J. Fine	1990	Ranjan Roy
+	Sums of functions of bounded index and ordinary differential equations	1989	Ranjan Roy S. M. Shah
+	A note on the equivalence of shock manifold equations	1988	Ranjan Roy R. Ravindran
+	Functions of bounded index, bounded value distribution and v-bounded index	1987	Ranjan Roy S. M. Shah
+	Computation of Eigenvalues Associated with Functional Differential Equations	1987	A. Manitius Hien Tran G. Payre Ranjan Roy
+	Binomial Identities and Hypergeometric Series	1987	Ranjan Roy
+ PDF Chat	Meromorphic solutions of second order differential equations which are not solutions of first order algebraic differential equations	1986	Ranjan Roy S. M. Shah
+ PDF Chat	More q-beta integrals	1986	Richard Askey Ranjan Roy
+	Vector-valued entire functions satisfying a differential equation	1986	Ranjan Roy S. M. Shah
+ PDF Chat	The Serre duality theorem for Reimann surfaces	1984	Ranjan Roy
+	A uniqueness theorem for deformations of Fuchsian groups	1982	Ranjan Roy
+ PDF Chat	Bounded index, entire solutions of ordinary differential equations and summability methods	1981	Gerd H. Fricke Ranjan Roy S. M. Shah

Common Coauthors

Coauthor	Papers Together
George E. Andrews	14
Richard Askey	14
S. M. Shah	5
N. J. Fine	1
R. Ravindran	1
Hien Tran	1
Gerd H. Fricke	1
A. Manitius	1
G. Payre	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Bounded index, entire solutions of ordinary differential equations and summability methods	1981	Gerd H. Fricke Ranjan Roy S. M. Shah	4
+	Entire functions of bounded index	1977	S. M. Shah	4
+ PDF Chat	Differential inequalities and local valency	1973	W. K. Hayman	4
+	Entire functions satisfying a linear differential equation	1975	Gerd H. Fricke S. M. Shah	3
+	Vector-valued entire functions of bounded index satisfying a differential equation	1978	L. F. Heath	3
+	Applications of Basic Hypergeometric Functions	1974	George E. Andrews	3
+	Basic Hypergeometric Series and Applications.	1990	Ranjan Roy N. J. Fine	2
+	On an untapped source of medieval Keralese mathematics	1978	C. T. Rajagopal M. S. Rangachari	2
+	The Theory of Partitions	1984	George E. Andrews	2
+	Ramanujan's Extensions of the Gamma and Beta Functions	1980	Richard Askey	2
+	Ordinary differential equations in the complex domain	1976	Einar Hille	2
+	The mathematical papers of Isaac Newton	1967	Isaac Newton D. T. Whiteside Michael Hoskin A. Prag	2
+ PDF Chat	Entire Functions Satisfying a Linear Differential Equation	1968	Sejal Shah	2
+	Brook Taylor and the method of increments	1985	Lenore Feigenbaum	2
+	Generalized Frobenius partitions	1984	George E. Andrews	2
+	Ramanujan's Extensions of the Gamma and Beta Functions	1980	Richard Askey	2
+	On bounded value distribution and bounded index	1978	Gerd H. Fricke S. M. Shah	2
+ PDF Chat	Functions of Exponential Type are Differences of Functions of Bounded Index	1977	Shantilal N. Shah	2
+	Ordinary Differential Equations	1945	A. T. Lonseth E. L. Ince	2
+	Lectures on the general theory of integral functions	1923	Georges Valiron	2
+	A Course of Modern Analysis	1996	E. T. Whittaker G. N. Watson	2
+	History of mathematical programming, a collection of personal reminiscences	1992	J. K. Lenstra A. H. G. Rinnooy Kan Alexander Schrijver	1
+	Real and Complex Analysis.	1987	G. A. Garreau Walter Rudin	1
+	Cauchy and the Creation of Complex Function Theory	1997	Frank Smithies	1
+	Pi: A Source Book	2013	Lennart Berggren Jonathan M. Borwein Peter Borwein	1
+ PDF Chat	The Early Mathematical Manuscripts of Leibniz	1921	Gottfried Wilhelm Leibniz John Child	1
+ PDF Chat	q-Gamma and q-Beta Functions	2002	Victor G. Kač Pokman Cheung	1
+ PDF Chat	Bailey chains and generalized lambert series: I. Four identities of Ramanujan	1992	George E. Andrews	1
+	Éléments de la théorie des fonctions elliptiques	1972	Jules Tannery Jules Molk Charles Hermite	1
+	Sums of Squares of Integers	2005	Carlos Moreno Samuel S. Wagstaff	1
+	Modular Forms and Functions	1977	R. A. Rankin	1
+	A look back at Ramanujan's Notebooks	1975	B. J. Birch	1
+	Representations of Integers as Sums of Squares	1985	Emil Grosswald	1
+	James Stirling’s Methodus Differentialis	2003	I. Tweddle	1
+	Modular functions in analytic number theory	1970	Marvin I. Knopp	1
+	�ber das Wachstum des Index ganzer Funktionen	1971	G�nter Frank Erwin Mues	1
+	Lectures on Number Theory	1999	Peter Gustav Lejeune Dirichlet Richard Dedekind	1
+	Number Theory: An approach through history from Hammurapi to Legendre	1984	André Weil	1
+	Some basic hypergeometric orthogonal polynomials that generalize Jacobi polynomials	1985	Richard Askey James Wilson	1
+ PDF Chat	Limit distributions for queues and random rooted trees	1993	Lajos Takács	1
+	Research Problems in Function Theory	1967	W. K. Hayman	1
+	Lehrbuch der Algebra	1921	Heinrich Weber	1
+	The linear differential-difference equation with constant coefficients	1972	Clifford H Anderson	1
+ PDF Chat	Über Lineare Differentialgleichungen mit Rationalen koeffizienten	1911	Oskar Perron	1
+	Congruence Properties of Partitions	1934	S. Chowla	1
+	Binomial Identities and Hypergeometric Series	1987	Ranjan Roy	1
+	Mathematische Abhandlungen : Besonders aus dem Gebiete der höheren Arithmetik und der elliptischen Funktionen	1847	G. Eisenstein C. F. Gauss	1
+	Kinematics of a multi-dimensional shock of arbitrary strength in an ideal gas	1982	Punam Kumari Prasad	1
+ PDF Chat	On the Asymptotic Approximation to Integral Functions of Zero Order	1907	J. E. Littlewood	1
+	Lectures on Riemann Surfaces	1966	Robert C. Gunning	1