Results 71 to 80 of about 539 (144)

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 tangential approach to trigonometry [PDF]

arXiv, 2019
We construct the complex tangent as a meromorphic function in the plane, using an approach developed by Weierstrass in his characterization of analytic functions that satisfy algebraic addition theorems.
arxiv  

Jordan type inequalities using monotony of functions

, 2014
In this paper we will consider Jordan type inequalities involving hyperbolic trigonometric functions. Mathematics subject classification (2010): 26D05, 33B10.
C. Barbu, L. Piscoran
semanticscholar   +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

The integrals in Gradshteyn and Rhyzik. Part 2: Elementary logarithmic integrals [PDF]

Scientia, Series A: Mathematical Sciences, Vol. 14 (2007), 7-15, 2007
We describe methods to evaluate elementary logarithmic integrals. The integrand is the product of a rational function and a linear polynomial in ln x.
arxiv  

Oppenheim's problem and related inequalities for Dunkl kernels

, 2014
In this paper, we establish some inequalities related to Oppenheim’s problem for Dunkl kernels. In order to prove our main results, we present new inequalities involving modified Bessel functions of the first kind.
F. Chouchene
semanticscholar   +1 more source

Bridgeman's orthospectrum identity [PDF]

Top. Proc. 38 (2011) pp. 173-179, 2010
We give a short derivation of an identity of Bridgeman concerning orthospectra of hyperbolic surfaces.
arxiv  

Rational values of powers of trigonometric functions [PDF]

arXiv, 2020
We extend the theorem by Olmsted (1945) and Carlitz-Thomas (1963) on rational values of trigonometric functions to powers of trigonometric functions.
arxiv  

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

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