Results 11 to 20 of about 542 (85)
On generalized fractional integral with multivariate Mittag-Leffler function and its applications
Alexandria Engineering Journal, 2022 The fractional calculus (FC) has been extensively studied by researchers due to its vast applications in sciences in the last few years. In fractional calculus, multivariate Mittag–Leffler functions are considered the powerful extension of the classical ...
Amna Nazir +6 more
doaj +1 more source
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
doaj +1 more source
Monotonicity of Some Functions Involving The Beta Function [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2011 In this short paper the monotonicity of functions involving the Beta function is considered to be study by using a similar method given in [2] and [4].
Hanadi Saleem
doaj +1 more source
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
doaj +1 more source
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
wiley +1 more source
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
wiley +1 more source
Generalization of Some Inequalities for the Ratio of Gamma Functions [PDF]
, 2014 access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Copyright C K. Nantomah +4 more
core +1 more source
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
doaj +1 more source
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
core +1 more source
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.
doaj +1 more source