On an open problem of Bai-Ni Guo and Feng Qi.
Displaying 21 – 40 of 47
On b-function, spectrum and rational singularity.
Morihiko Saito (1993)
Mathematische Annalen
On certain Heun functions, associated functions of discrete variables, and applications.
Malits, P. (2003)
International Journal of Mathematics and Mathematical Sciences
On certain inequalities involving the Lambert W function.
Stewart, Seán M. (2009)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
On certain transcendental functions
M. Krakowski (1970)
Applicationes Mathematicae
On Hankel Transform of Generalized Mathieu Series
Tomovski, Živorad (2009)
Fractional Calculus and Applied Analysis
Mathematics Subject Classification: Primary 33E20, 44A10; Secondary 33C10, 33C20, 44A20By using integral representations for several Mathieu type series, a number of integral transforms of Hankel type are derived here for general families of Mathieu type series. These results generalize the corresponding ones on the Fourier transforms of Mathieu type series, obtained recently by Elezovic et al. [4], Tomovski [19] and Tomovski and Vu Kim Tuan [20].
On integral forms of generalised Mathieu series.
Cerone, P., Lenard, C.T. (2003)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
On some combinatorial relations for Tornheim's double series
Hirofumi Tsumura (2002)
Acta Arithmetica
Polylogarithmes
Joseph Oesterlé (1992/1993)
Séminaire Bourbaki
Pseudo Laguerre and pseudo Hermite polynomials
Giuseppe Dattoli (2001)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
We start from pseudo hyperbolic and trigonometric functions to introduce pseudo Laguerre and Hermite polynomials. We discuss the link with families of Bessel functions and analyze all the associated problems from a unifying point of view, employing operational tools.
-extensions for the Apostol–Genocchi polynomials.
Luo, Qiuming (2009)
General Mathematics
Renewal Processes of Mittag-Leffler and Wright Type
Mainardi, Francesco, Gorenflo, Rudolf, Vivoli, Alessandro (2005)
Fractional Calculus and Applied Analysis
2000 MSC: 26A33, 33E12, 33E20, 44A10, 44A35, 60G50, 60J05, 60K05.After sketching the basic principles of renewal theory we discuss the classical Poisson process and offer two other processes, namely the renewal process of Mittag-Leffler type and the renewal process of Wright type, so named by us because special functions of Mittag-Leffler and of Wright type appear in the definition of the relevant waiting times. We compare these three processes with each other, furthermore consider corresponding...
Sequences of definite integrals, factorials and double factorials.
Dana-Picard, Thierry (2005)
Journal of Integer Sequences [electronic only]
Some problems and solutions involving Mathieu's series and its generalizations.
Srivastava, H.M., Tomovski, Živorad (2004)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
Some relations on Humbert matrix polynomials
Ayman Shehata (2016)
Mathematica Bohemica
The Humbert matrix polynomials were first studied by Khammash and Shehata (2012). Our goal is to derive some of their basic relations involving the Humbert matrix polynomials and then study several generating matrix functions, hypergeometric matrix representations, matrix differential equation and expansions in series of some relatively more familiar matrix polynomials of Legendre, Gegenbauer, Hermite, Laguerre and modified Laguerre. Finally, some definitions of generalized Humbert matrix polynomials...
Some relations satisfied by Hermite-Hermite matrix polynomials
Ayman Shehata, Lalit Mohan Upadhyaya (2017)
Mathematica Bohemica
The classical Hermite-Hermite matrix polynomials for commutative matrices were first studied by Metwally et al. (2008). Our goal is to derive their basic properties including the orthogonality properties and Rodrigues formula. Furthermore, we define a new polynomial associated with the Hermite-Hermite matrix polynomials and establish the matrix differential equation associated with these polynomials. We give the addition theorems, multiplication theorems and summation formula for the Hermite-Hermite...
Sur une intégrale double
F. Didon (1870)
Annales scientifiques de l'École Normale Supérieure
The asymptotics of interlacing sequences and the growth of continual Young diagrams
С.В. Керов (1993)
Zapiski naucnych seminarov POMI
The Boubaker polynomials expansion scheme BPES for solving a standard boundary value problem.
Zhang, D.H., Naing, L. (2010)
APPS. Applied Sciences
The Deformed Trigonometric Functions of two Variables
Marinkovic, Sladjana, Stankovic, Miomir, Mulalic, Edin (2012)
Mathematica Balkanica New Series
MSC 2010: 33B10, 33E20Recently, various generalizations and deformations of the elementary functions were introduced. Since a lot of natural phenomena have both discrete and continual aspects, deformations which are able to express both of them are of particular interest. In this paper, we consider the trigonometry induced by one parameter deformation of the exponential function of two variables eh(x; y) = (1 + hx)y=h (h 2 R n f0g, x 2 C n f¡1=hg, y 2 R). In this manner, we define deformed sine...