Results 31 to 40 of about 293 (84)

New Upper Bounds in the Second Kershaw's Double Inequality and its Generalizations [PDF]

, 2007
In the paper, new upper bounds in the second Kershaw’s double inequality and its generalizations involving the gamma, psi and polygamma functions are established, some known results are ...
Guo, Senlin, Qi, Feng
core  

An analysis of exponential kernel fractional difference operator for delta positivity

Nonlinear Engineering
Positivity analysis for a fractional difference operator including an exponential formula in its kernel has been examined. A composition of two fractional difference operators of order (ν,μ)\left(\nu ,\mu ) in the sense of Liouville–Caputo type operators
Mohammed Pshtiwan Othman
doaj   +1 more source

Parametric Fourier and Mellin transforms of power-constructible functions

Forum of Mathematics, Sigma
We enrich the class of power-constructible functions, introduced in [CCRS23], to a class $\mathcal {C}^{\mathcal {M,F}}$ of algebras of functions which contains all complex powers of subanalytic functions and their parametric Mellin and Fourier ...
Raf Cluckers, Georges Comte, Tamara Servi   +2 more
doaj   +1 more source

Certain properties and characterizations of a novel family of bivariate 2D-q Hermite polynomials

Open Mathematics
This study presents a novel family of bivariate 2D-qq Hermite polynomials. We derive explicit forms and qq-partial differential equations and investigate numerical aspects associated with these polynomials.
Wani Shahid Ahmad, Zayed Mohra, Nahid Tabinda   +2 more
doaj   +1 more source

Logarithmic mean inequality for generalized trigonometric and hyperbolic functions [PDF]

, 2014
In this paper we study the convexity and concavity properties of generalized trigonometric and hyperbolic functions in case of Logarithmic mean.Comment:
Barkat Ali, Bhayo, Li Yin
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On generalized trigonometric functions and series of rational functions

, 2017
Here we introduce a way to construct generalized trigonometric functions associated with any complex polynomials, and the well known trigonometric functions can be seen to associate with polynomial $x^2-1$.
Yu, Han
core   +1 more source

Two-iterated degenerate Appell polynomials: properties and applications

Arab Journal of Basic and Applied Sciences
In the development of hybrid special polynomials, it is essential to incorporate the monomiality principle, operational rules, and other related properties.
Shahid Ahmad Wani
doaj   +1 more source

From a cotangent sum to a generalized totient function

, 2017
In this paper we investigate a certain category of cotangent sums and more specifically the sum $$\sum_{m=1}^{b-1}\cot\left(\frac{\pi m}{b}\right)\sin^{3}\left(2\pi m\frac{a}{b}\right)\:$$ and associate the distribution of its values to a generalized ...
Rassias, Michael Th.
core   +1 more source

ON THE GENERALIZED FRESNEL SINE INTEGRALS AND CONVOLUTION [PDF]

, 2012
The generalized Fresnel sine integral Sk(x) and its associated functions Sk+(x) ; Sk-(x) are de fined as locally summable functions on the real line. Some convolutions and neutrix convolutions of the generalized Fresnel sine integral and its associated ...
JOLEVSKA-TUNESKA, BILJANA, LAZAROVA, LIMONKA   +1 more
core  

A Sharp Double Inequality for the Inverse Tangent Function [PDF]

, 2013
The inverse tangent function can be bounded by different inequalities, for example by Shafer's inequality. In this publication, we propose a new sharp double inequality, consisting of a lower and an upper bound, for the inverse tangent function.
Alirezaei, Gholamreza
core   +1 more source