Results 21 to 30 of about 542 (85)

Limit formulas for ratios of polygamma functions at their singularities

, 2012
In the paper the author presents limit formulas for ratios of polygamma functions at their singularities.Comment: 4 ...
Qi, Feng
core   +2 more sources

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
core   +1 more source

Generalized Fractional Integral Operators Involving the H―-Function and Their Applications to Special Functions

Abstract and Applied Analysis
MSC2020 Classification: 26A33, 33B15, 33C05, 33C20, 44A10, 44A20.
S. Chandak, B. K. Tripathi, Biniyam Shimelis   +2 more
doaj   +1 more source

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, Ighachane Mohamed Amine   +1 more
doaj   +1 more source

A Novel Form of Multiplicative Gamma Function and Its Analytical Properties

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
In this article, we introduce and investigate a novel Euler‐style multiplicative gamma function formulated within the framework of multiplicative calculus. This function is defined via a multiplicative integral and serves as a multiplicative analogue of the classical gamma function.
Sajedeh Norozpour, Davron Aslonqulovich Juraev, Mohammed Z. Alqarni, Mohamed Abdalla, José M. Rodríguez   +4 more
wiley   +1 more source

Extension of complete monotonicity results involving the digamma function

Moroccan Journal of Pure and Applied Analysis, 2018
By using some analytical techniques, we prove a complete monotonicity property of a certain function involving the (p, k)-digamma function. Subsequently, we derive some inequalities for the (p, k)- digamma function.
Nantomah Kwara
doaj   +1 more source

Some Completely Monotonic Properties for the (p, g)-Gamma Function [PDF]

, 2012
MSC 2010: 33B15, 26A51 ...
Krasniqi, Valmir, Merovci, Faton
core  

Averages of Ramanujan sums: Note on two papers by E. Alkan

, 2014
We give a simple proof and a multivariable generalization of an identity due to E. Alkan concerning a weighted average of the Ramanujan sums. We deduce identities for other weighted averages of the Ramanujan sums with weights concerning logarithms ...
Tóth, László
core   +1 more source

Sharp bounds for harmonic numbers

, 2010
In the paper, we first survey some results on inequalities for bounding harmonic numbers or Euler-Mascheroni constant, and then we establish a new sharp double inequality for bounding harmonic numbers as follows: For $n\in\mathbb{N}$, the double ...
Alzer, Alzer, Bai-Ni Guo, Batir, Chen, Chen, DeTemple, Feng Qi, Guo, Havil, High, Klambauer, Koumandos, Kuang, Kuang, Kuang, Pólya, Qi, Tóth, Tóth, Wei, Wu, Yang, Young   +23 more
core   +1 more source

On the k‐Bicomplex Gamma and k‐Bicomplex Beta Functions and Their Properties

Journal of Mathematics, Volume 2025, Issue 1, 2025.
This paper intends to extend certain special functions from one complex variable to the bicomplex setting. Specifically, we define the k‐bicomplex Gamma and k‐bicomplex Beta functions. Subsequently, several properties and formulas pertaining to k‐bicomplex Gamma, k‐bicomplex Beta, and k‐shifted factorial are derived. We also explore applications of the
Mohra Zayed, Ahmed Bakhet, Mohamed Fathi, Mohammed A. Saleem, Ming-Sheng Liu   +4 more
wiley   +1 more source