Results 11 to 20 of about 92 (86)
Binet's second formula, Hermite's generalization, and two related identities
Open Mathematics, 2023 Legendre was the first to evaluate two well-known integrals involving sines and exponentials. One of these integrals can be used to prove Binet’s second formula for the logarithm of the gamma function.
Boyack Rufus
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q-Functions and Distributions, Operational and Umbral Methods
Mathematics, 2021 The use of non-standard calculus means have been proven to be extremely powerful for studying old and new properties of special functions and polynomials.
Giuseppe Dattoli +3 more
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International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 39, Page 2091-2096, 2004., 2004 We present a Fourier transform representation of the gamma functions, which leads naturally to a distributional representation for them. Both of these representations lead to new identities for the integrals of gamma functions multiplied by other functions, which are also presented here.
M. Aslam Chaudhry, Asghar Qadir
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Inequalities involving Mittag-Leffler type q-Konhauser polynomial
, 2020 In the present work, we propose generalized structure of the q- Konhauser polynomial suggested by a generalized q-Mittag-Leffler function. For this polynomial, we obtain its difference equation and several other properties involving inequalities are also
NATHWANI , Bharti Vishandas
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Asymptotic expansions for ratios of products of gamma functions
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 18, Page 1167-1171, 2003., 2003 An asymptotic expansion for a ratio of products of gamma functions is derived.
Wolfgang Bühring
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An asymptotic expansion for a ratio of products of gamma functions
International Journal of Mathematics and Mathematical Sciences, Volume 24, Issue 8, Page 505-510, 2000., 2000 An asymptotic expansion of a ratio of products of gamma functions is derived. It generalizes a formula which was stated by Dingle, first proved by Paris, and recently reconsidered by ...
Wolfgang Bühring
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Two asymptotic expansions for gamma function developed by Windschitl’s formula
Open Mathematics, 2018 In this paper we develop Windschitl’s approximation formula for the gamma function by giving two asymptotic expansions using a little known power series.
Yang Zhen-Hang, Tian Jing-Feng
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Some applications of a differential subordination
International Journal of Mathematics and Mathematical Sciences, Volume 22, Issue 3, Page 649-654, 1999., 1999 A number of interesting criteria were given by earlier workers for a normalized analytic function to be in the familiar class 𝔖* of starlike functions. The main object of the present paper is to extend and improve each of these earlier results. An application associated with an integral operator 𝔉c(c > −1) is also considered.
Yong Chan Kim, H. M. Srivastava
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Extended Riemann-Liouville type fractional derivative operator with applications
Open Mathematics, 2017 The main purpose of this paper is to introduce a class of new extended forms of the beta function, Gauss hypergeometric function and Appell-Lauricella hypergeometric functions by means of the modified Bessel function of the third kind.
Agarwal P., Nieto Juan J., Luo M.-J.
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Abstract and Applied AnalysisMSC2020 Classification: 26A33, 33B15, 33C05, 33C20, 44A10, 44A20.
S. Chandak +2 more
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