Andrea Laforgia

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All published works

Action	Title	Year	Authors
+	From De Finetti to Today: Against the Domain of Mathematics for Deficients	2018	Andrea Laforgia
+ PDF Chat	Van der Corput inequalities for Bessel functions	2014	Árpád Baricz Andrea Laforgia Tibor K. Pogány
+ PDF Chat	Completely Monotonic and Related Functions: Their Applications	2014	Senlin Guo Andrea Laforgia Necdet Batır Qiu-Ming Luo
+ PDF Chat	Simple proofs of classical results on zeros of $\mathbf{J_\nu(x)}$ and $\mathbf{J_\nu'(x)}$	2014	Chrysi G. Kokologiannaki Andrea Laforgia
+ PDF Chat	On an inequality for the ratio of gamma functions	2014	Andrea Laforgia Pierpaolo Natalini
+	Exponential, gamma and polygamma functions: Simple proofs of classical and new inequalities	2013	Andrea Laforgia Pierpaolo Natalini
+	On Some Inequalities for the Gamma Function	2013	Andrea Laforgia Pierpaolo Natalini Largo San Leonardo Murialdo
+	Some inequalities for the ratio of gamma functions	2011	Pierpaolo Natalini Andrea Laforgia
+ PDF Chat	Some Inequalities for Modified Bessel Functions	2010	Andrea Laforgia Pierpaolo Natalini
+	A theory of divergent integrals	2008	Andrea Laforgia
+	The zeros of the complementary error function	2008	Árpád Elbert Andrea Laforgia
+	Zeros of Bessel functions: monotonicity, concavity, inequalities	2007	Andrea Laforgia Pierpaolo Natalini
+	Sturm theory for some classes of Sturm-Liouville equations and inequalities andmonotonicity properties for the zeros of Bessel functions	2007	Andrea Laforgia Pierpaolo Natalini
+	Monotonicity Properties of Determinants of Special Functions	2006	Mourad E. H. Ismail Andrea Laforgia
+ PDF Chat	Functional inequalities for incomplete gamma and related functions	2006	Mourad E. H. Ismail Andrea Laforgia
+	Turàn-type inequalities for some special functions	2006	Andrea Laforgia Pierpaolo Natalini
+	Monotonicity results and inequalities for some special functions	2006	Andrea Laforgia Pierpaolo Natalini
+	Monotonicity resultsand inequalities for some special functions	2006	Andrea Laforgia Pierpaolo Natalini
+	Árpád Elbert, 1939–2001: a memorial tribute	2003	Andrea Laforgia Martin E. Muldoon P.D. Siafarikas
+	A conjecture on the zeros of ultraspherical polynomials	2001	Árpád Elbert Andrea Laforgia Panayiotis D. Siafarikas
+	A conjecture on the zeros of Bessel functions	2001	Árpád Elbert Andrea Laforgia
+	Inequalities and monotonicity properties for the gamma functions	2001	Carla Giordano Andrea Laforgia
+	Further results on McMahon's asymptotic approximations	2000	Árpád Elbert Andrea Laforgia
+ PDF Chat	On some properties of the Gamma function	2000	Árpád Elbert Andrea Laforgia
+	An inequality for the product of two integrals relating to the incomplete gamma function	2000	Árpád Elbert Andrea Laforgia
+	An upper bound for the zeros of the cylinder functions	1998	Á. Elbert Andrea Laforgia
+ PDF Chat	An upper bound for the zeros of the cylinder function C_v(x)	1998	Árpád Elbert Andrea Laforgia
+	An upper bound for the zeros of the derivative of Bessel functions	1997	Árpád Elbert Andrea Laforgia
+	Supplements to Known Inequalities for Some Special Functions	1996	Carla Giordano Andrea Laforgia ‎Josip Pečarić
+	A LOWER BOUND FOR THE ZEROS OF THE BESSEL FUNCTIONS	1994	Árpád Elbert Andrea Laforgia
+	An inequality for Legendre polynomials	1994	Árpád Elbert Andrea Laforgia
+	Additional monotonicity results for the zeros of Bessel functions	1993	Andrea Laforgia Maria Luisa Mathis
+ PDF Chat	On the zeros of associated polynomials of classical orthogonal polynomials	1993	Árpád Elbert Andrea Laforgia
+	Asymptotics for thenth-degree Laguerre polynomial evaluated atn	1992	Árpád Elbert Andrea Laforgia Lucia G. Rodonó
+	Some functional inequalities for complete elliptic integrals	1992	Andrea Laforgia Silvana Sismondi
+	Asymptotic Formulas for Ultraspherical Polynomials P (λ) n (X) and their Zeros for Large Values of λ	1992	Árpád Elbert Andrea Laforgia
+ PDF Chat	Asymptotic formulas for ultraspherical polynomials 𝑃_{𝑛}^{𝜆}(𝑥) and their zeros for large values of 𝜆	1992	Árpád Elbert Andrea Laforgia
+	On the zeros of generalized Airy functions	1991	�rp�d Elbert Andrea Laforgia
+ PDF Chat	Higher Monotonicity Properties and Inequalities for Zeros of Bessel Functions	1991	Laura Nicolo-Amati Gori Andrea Laforgia Martin E. Muldoon
+	Bounds for modified Bessel functions	1991	Andrea Laforgia
+ PDF Chat	Higher monotonicity properties and inequalities for zeros of Bessel functions	1991	Laura Gori Andrea Laforgia Martin E. Muldoon
+	Additional monotonicity properties of the zeros of Bessel functions	1991	Árpád Elbert Andrea Laforgia Lee Lorch
+	A convexity property of zeros of Bessel functions	1990	�rp�d Elbert Andrea Laforgia
+	Upper bounds for the zeros of ultraspherical polynomials	1990	Árpád Elbert Andrea Laforgia
+	Bounds for Bessel functions	1989	Andrea Laforgia Maria Luisa Mathis
+	Monotonicity results and inequalities for the gamma and error functions	1988	Andrea Laforgia Silvana Sismondi
+	Monotonicity properties of zeros of generalized Airy functions	1988	Andrea Laforgia Martin E. Muldoon
+	Further properties of the zeros of Bessel functions	1987	Carla Giordano Andrea Laforgia
+	New Properties of the Zeros of a Jacobi Polynomial in Relation to their Centroid	1987	Á. Elbert Andrea Laforgia
+	Monotonicity results on the zeros of generalized Laguerre polynomials	1987	Árpád Elbert Andrea Laforgia
+	On the power of the zeros of Bessel functions	1987	Árpád Elbert Andrea Laforgia
+	Some consequences of a lower bound for the second derivative of the zeros of Bessel functions	1987	Árpád Elbert Andrea Laforgia
+	Inequalities for Some Special Functions and their Zeros	1987	Carla Giordano Andrea Laforgia
+	Monotonicity Properties of the Zeros of Bessel Functions	1986	Árpád Elbert Andrea Laforgia
+	A Note to the Paper of Ahmed, Muldoon and Spigler	1986	Árpád Elbert Andrea Laforgia
+	Inequalities for Bessel functions	1986	Andrea Laforgia
+	Some Consequences of the Sturm Comparison Theorem	1986	Andrea Laforgia Martin E. Muldoon
+	Some Consequences of the Sturm Comparison Theorem	1986	Andrea Laforgia Martin E. Muldoon
+ PDF Chat	Inequalities and monotonicity results for zeros of modified Bessel functions of purely imaginary order	1986	Andrea Laforgia
+	A Lower Bound for J<sub>v</sub>(ν)	1985	William Ian Miller Árpád Elbert Andrea Laforgia
+	On the Convexity of the Zeros of Bessel Functions	1985	Árpád Elbert Andrea Laforgia
+	FURTHER RESULTS ON THE ZEROS OF BESSEL FUNCTIONS	1985	Árpád Elbert Andrea Laforgia
+ PDF Chat	Further Inequalities for the Gamma Function	1984	Andrea Laforgia
+	An asymptotic relation for the zeros of Bessel functions	1984	Árpád Elbert Andrea Laforgia
+	Monotonicity and concavity properties of zeros of Bessel functions	1984	Andrea Laforgia Martin E. Muldoon
+ PDF Chat	Further inequalities for the gamma function	1984	Andrea Laforgia
+	On the Square of the Zeros of Bessel Functions	1984	Árpád Elbert Andrea Laforgia
+	Elementary approximations for zeros of Bessel functions	1983	Carla Giordano Andrea Laforgia
+	Inequalities and Approximations for Zeros of Bessel Functions of Small Order	1983	Andrea Laforgia Martin E. Muldoon
+	On the concavity of zeros of bessel functions<sup>†</sup>	1983	Árpád Elbert Luigi Gatteschi Andrea Laforgia
+	On the zeros of derivatives of Bessel functions	1983	�rp�d Elbert Andrea Laforgia
+	Sturm theory for certain classes of Sturm-Liouville equations and Turanians and Wronskians for the zeros of derivative of Bessel functions	1982	Andrea Laforgia
+ PDF Chat	A Monotonic Property for the Zeros of Ultraspherical Polynomials	1981	Andrea Laforgia
+ PDF Chat	A monotonic property for the zeros of ultraspherical polynomials	1981	Andrea Laforgia

Common Coauthors

Coauthor	Papers Together
Árpád Elbert	28
Pierpaolo Natalini	10
Martin E. Muldoon	8
Carla Giordano	5
�rp�d Elbert	3
Silvana Sismondi	2
Mourad E. H. Ismail	2
Maria Luisa Mathis	2
Chrysi G. Kokologiannaki	1
Panayiotis D. Siafarikas	1
Largo San Leonardo Murialdo	1
Lee Lorch	1
Qiu-Ming Luo	1
Lucia G. Rodonó	1
Necdet Batır	1
Tibor K. Pogány	1
Laura Nicolo-Amati Gori	1
Senlin Guo	1
Árpád Baricz	1
William Ian Miller	1
Luigi Gatteschi	1
Á. Elbert	1
P. D. Siafarikas	1
Josip ‎Pečarić	1
Laura Gori	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	A Treatise on the Theory of Bessel Functions.	1923	Matthew Porter G. N. Watson	25
+	A Treatise on the Theory of Bessel Functions	1944	H. T. Davis G. N. Watson	22
+	On the Square of the Zeros of Bessel Functions	1984	Árpád Elbert Andrea Laforgia	16
+	Monotonicity and concavity properties of zeros of Bessel functions	1984	Andrea Laforgia Martin E. Muldoon	10
+	On the Spacing of the Zeros of Some Classical Orthogonal Polynomials	1982	Saad Zagloul Rida Ahmed Alessandra Laforgia Martin E. Muldoon	10
+	Inequalities and Approximations for Zeros of Bessel Functions of Small Order	1983	Andrea Laforgia Martin E. Muldoon	9
+	Handbook of Mathematical Functions	1966	Donald A. McQuarrie	8
+	Monotonicity and Convexity Properties of Zeros of Bessel Functions	1977	J. T. Lewis Martin E. Muldoon	8
+	On orthogonal polynomials	1975	P. Túrán	7
+	On the concavity of zeros of bessel functions<sup>†</sup>	1983	Árpád Elbert Luigi Gatteschi Andrea Laforgia	6
+ PDF Chat	Orthogonal Polynomials	1971		5
+	Turánians and Wronskians for the Zeros of Bessel Functions	1980	Lee Lorch	5
+	On the Convexity of the Zeros of Bessel Functions	1985	Árpád Elbert Andrea Laforgia	5
+	On a monotonic property of certain Sturm-Liouville functions	1952	Endre Makai	5
+ PDF Chat	Higher monotonicity properties of certain Sturm-Liouville functions	1963	Lee Lorch Peter Szego	5
+	Some monotonicity properties of the zeros of ultraspherical polynomials	1986	Á. Elbert Alessandra Laforgia	5
+	Some Elementary Inequalities Relating to the Gamma and Incomplete Gamma Function	1959	Walter Gautschi	5
+	Inequalities for the Zeros of Bessel Functions	1977	Roger C. McCann	4
+	Monotonicity Properties of the Zeros of Bessel Functions	1986	Árpád Elbert Andrea Laforgia	4
+	Inequalities for ultraspherical polynomials and the gamma function	1984	Lee Lorch	4
+ PDF Chat	On the zeros of the polynomials of Legendre	1950	P. Túrán	4
+ PDF Chat	Some extensions of W. Gautschi’s inequalities for the gamma function	1983	D. Kershaw	4
+	Sugli zeri delle funzioni di bessel	1980	Alessandra Laforgia	4
+	FURTHER RESULTS ON THE ZEROS OF BESSEL FUNCTIONS	1985	Árpád Elbert Andrea Laforgia	4
+	Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables	1965	D. B. Owen Milton Abramowitz Irene A. Stegun	3
+ PDF Chat	On some inequalities for the gamma and psi functions	1997	Horst Alzer	3
+	On certain determinants whose elements are orthogonal polynomials	1960	Samuel Karlin Gábor Szegő	3
+	Sturm theory for certain classes of Sturm-Liouville equations and Turanians and Wronskians for the zeros of derivative of Bessel functions	1982	Andrea Laforgia	3
+	Error Bounds for Asymptotic Approximations of Zeros of Transcendental Functions	1970	Herbert W. Hethcote	3
+	Handbook of Mathematical Functions	2018		3
+ PDF Chat	Bounds for zeros of some special functions	1970	Herbert W. Hethcote	3
+	Ordinary Differential Equations	1945	A. T. Lonseth E. L. Ince	3
+	An Inequality for the Bessel Function $J_\nu (\nu x)$	1984	R. B. Paris	3
+ PDF Chat	Higher Monotonicity Properties of Certain Sturm-Liouville Functions. III	1970	Lee Lorch Martin E. Muldoon Peter Szego	3
+	Higher monotonicity properties of certain Sturm-Liouville functions. V	1977	Martin E. Muldoon	3
+ PDF Chat	On certain methods of Sturm and their application to the roots of Bessel’s functions	1897	Maxime Bôcher	3
+	On zeros of bessel functions<sup>†</sup>	1986	Mourad E. H. Ismail	3
+	Some consequences of a lower bound for the second derivative of the zeros of Bessel functions	1987	Árpád Elbert Andrea Laforgia	3
+	Inequalities for Some Special Functions and their Zeros	1987	Carla Giordano Andrea Laforgia	2
+ PDF Chat	Lower bounds for the zeros of Bessel functions	1977	Roger C. McCann	2
+ PDF Chat	Inequalities for the zeros of Legendre polynomials and related functions	1936	G. Szegö	2
+	Inequalities for the Zeros of Ultraspherical Polynomials and Bessel Functions	1993	K. -J. Förster Knut Petras	2
+	Inequalities and monotonicity properties for the gamma function	2001	Carla Giordano Alessandra Laforgia	2
+ PDF Chat	Bounds for the Ratio of Two Gamma Functions	2010	Feng Qi	2
+	Zeros of the modified Hankel function	1970	Evandro Maia Ferreira J. Sesma	2
+	An asymptotic relation for the zeros of Bessel functions	1984	Árpád Elbert Andrea Laforgia	2
+	Further properties of the zeros of Bessel functions	1987	Carla Giordano Andrea Laforgia	2
+	Inequalities and Numerical Bounds for Zeros of Ultraspherical Polynomials	1986	S. Ahmed Martin E. Muldoon Renato Spigler	2
+ PDF Chat	Asymptotic formulas for ultraspherical polynomials 𝑃_{𝑛}^{𝜆}(𝑥) and their zeros for large values of 𝜆	1992	Árpád Elbert Andrea Laforgia	2
+	Inequalities involving modified Bessel functions of the first kind	1992	Árpád Baricz Edward Neuman	2