Results 21 to 30 of about 681 (108)
Chebyshev type inequalities for conformable fractional integrals
Miskolc Mathematical Notes, 2019 In this article, firstly some necessary definitions and results involving fractional integrals are given. Secondly, a new identity involving conformable fractional integrals is given.
E. Set, A. Akdemi̇r, İ. Mumcu
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Certain unified integrals associated with Bessel functions
, 2013 A remarkably large number of integral formulas involving a variety of special functions have been developed by many authors. Very recently, Ali gave three interesting unified integrals involving the hypergeometric function F12.
Junesang Choi, P. Agarwal
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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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New integral inequalities involving beta function via $P$-convexity
, 2014 In this note we establish some estimates, involving the Euler Beta function, of the integral R b a .x a/ p.b x/qf .x/dx for functions when a power of the absolute value isP convex. An extension to functions of several variables is also obtained.
Wenjun Liu
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Some properties of the generalized Gaussian ratio and their applications
, 2020 We are devoted to an integral, asymptotic expansion and Maclaurin series representation for the generalized Gaussian ratio, and find their various related properties such as complete monotonicity and some useful inequalities.
Zhen-Hang Yang, B. Xi, Shenzhou Zheng
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A harmonic mean inequality for the digamma function and related results
, 2017 We present some inequalities and a concavity property of the digamma function ψ = Γ′/Γ, where Γ denotes Euler’s gamma function. In particular, we offer a new characterization of Euler’s constant γ = 0.57721....
H. Alzer, G. Jameson
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A harmonic mean inequality for the polygamma function
, 2020 In this work, we discuss some new inequalities and a concavity property of the polygamma function ψ (n)(x) = dn dxn ψ(x) , x > 0 , where ψ(x) represents the digamma function (i.e. logarithmic derivative of the gamma function Γ(x) ).
Sourav Das, A. Swaminathan
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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
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A family of incomplete Hurwitz-Lerch zeta functions of two variables
, 2020 Inspired essentially by the work [ H. M. Srivastava, M. A. Chaudhry and R. P. Agarwal [The incomplete Pochhammer symbols and their applications to hypergeometric and related functions, Integral Transforms Spec. Funct.
H. Srivastava, R. Sahin, Oguz Yagci
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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.
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