Results 11 to 20 of about 936 (88)

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, Silvia Licciardi, Bruna Germano, Maria Renata Martinelli   +3 more
doaj   +1 more source

A Complete Monotonicity of the Gamma Function [PDF]

, 2004
The function 1/x ln Γ(x+1)−ln x+1 is strictly completely monotonic on (0,∞)
Chen, Chao-Ping, Qi, Feng
core   +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

A note on the asymptotics for incomplete Betafunctions [PDF]

, 2021
We determine the asymptotic behaviour of certain incomplete Betafunctions.
arxiv   +1 more source

An Inequality for Ratios of Gamma Functions [PDF]

J. Math. Anal. Appl. 352 (2009) 967--970, 2009
An inequality concerning ratios of gamma functions is proved. This answers a question of Guo and Qi (2003).
arxiv   +1 more source

Fourier transform and distributional representation of the gamma function leading to some new identities

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

Integrals of polylogarithmic functions with negative argument

Acta Universitatis Sapientiae: Mathematica, 2018
The connection between polylogarithmic functions and Euler sums is well known. In this paper we explore the representation and many connections between integrals of products of polylogarithmic functions and Euler sums.
Sofo Anthony
doaj   +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, E. Prempeh, K. Nantomah, M. M. Iddrisu, M. M. Iddrisu   +4 more
core   +1 more source

Lah numbers, Laguerre polynomials of order negative one, and the nth derivative of exp(1/x)

Acta Universitatis Sapientiae: Mathematica, 2016
In this note we point out interesting connections among Lah numbers, Laguerre polynomials of order negative one, and exponential polynomials. We also discuss several different expressions for the nth derivative of exp(1/x).
Boyadzhiev Khristo N.
doaj   +1 more source