Results 31 to 40 of about 266 (93)

On some convergences to the constant e and improvements of Carlemans' inequality [PDF]

arXiv, 2013
We present inequalities and some applications to Kellers' limit and Carlemans' inequality.
arxiv  

Remarks on trigonometric functions after Eisenstein [PDF]

arXiv, 2016
We modify the Whittaker-Watson account of the Eisenstein approach to the trigonometric functions, basing these functions independently on the Eisenstein function $\varepsilon_2$.
arxiv  

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  

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

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  

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