Results 11 to 20 of about 513 (70)
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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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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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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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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Construction a new generating function of Bernstein type polynomials
, 2010 Main purpose of this paper is to reconstruct generating function of the Bernstein type polynomials. Some properties this generating functions are given.
Simsek, Yilmaz
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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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An alternative proof of Elezovi\'c-Giordano-Pe\v{c}ari\'c's theorem
, 2009 In the present note, an alternative proof is supplied for Theorem~1 in [N. Elezovi\'c, C. Giordano and J. Pe\v{c}ari\'c, \textit{The best bounds in Gautschi's inequality}, Math. Inequal. Appl.
Guo, Bai-Ni, Qi, Feng
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Umbral Methods and Harmonic Numbers
Axioms, 2018 The theory of harmonic-based functions is discussed here within the framework of umbral operational methods. We derive a number of results based on elementary notions relying on the properties of Gaussian integrals.
Giuseppe Dattoli +3 more
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Refinements of Some Recent Inequalities for Certain Special Functions
Annales Mathematicae Silesianae, 2019 The aim of this paper is to give some refinements to several inequalities, recently etablished, by P.K. Bhandari and S.K. Bissu in [Inequalities via Hölder’s inequality, Scholars Journal of Research in Mathematics and Computer Science, 2 (2018), no.
Akkouchi Mohamed +1 more
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