On some general distributions in terms of generalized functions
G. S. Lingappaiah (1978)
Revista colombiana de matematicas
Virchenko, Nina (2012)
Mathematica Balkanica New Series
MSC 2010: 44A15, 44A20, 33C60Using the generalized confluent hypergeometric function [6] some new integral transforms are introduced. They are generalizations of some classical integral transforms, such as the Laplace, Stieltjes, Widder-potential, Glasser etc. integral transforms. The basic properties of these generalized integral transforms and their inversion formulas are obtained. Some examples are also given.
Mumtaz Ahmad Khan, Ajay Kumar Shukla (1999)
Czechoslovak Mathematical Journal
Certain generalizations of Sister Celine’s polynomials are given which include most of the known polynomials as their special cases. Besides, generating functions and integral representations of these generalized polynomials are derived and a relation between generalized Laguerre polynomials and generalized Bateman’s polynomials is established.
Nakhi, Y. Ben, Kalla, S.L. (2004)
Fractional Calculus and Applied Analysis
The aim of this paper is to establish some mixture distributions that arise in stochastic processes. Some basic functions associated with the probability mass function of the mixture distributions, such as k-th moments, characteristic function and factorial moments are computed. Further we obtain a three-term recurrence relation for each established mixture distribution.
A. K. Agarwal, H. L. Manocha (1980)
Matematički Vesnik
Kiryakova, Virginia (2012)
Mathematica Balkanica New Series
MSC 2010: 33-00, 33C45, 33C52, 30C15, 30D20, 32A17, 32H02, 44A05The 6th International Conference "Transform Methods and Special Functions' 2011", 20 - 23 October 2011 was dedicated to the 80th anniversary of Professor Peter Rusev, as one of the founders of this series of international meetings in Bulgaria, since 1994. It is a pleasure to congratulate the Jubiliar on behalf of the Local Organizing Committee and International Steering Committee, and to present shortly some of his life achievements...
Hacène Belbachir, Farid Bencherif (2008)
Discussiones Mathematicae - General Algebra and Applications
Letting (resp. ) be the n-th Chebyshev polynomials of the first (resp. second) kind, we prove that the sequences and for n - 2⎣n/2⎦ ≤ k ≤ n - ⎣n/2⎦ are two basis of the ℚ-vectorial space formed by the polynomials of ℚ[X] having the same parity as n and of degree ≤ n. Also and admit remarkableness integer coordinates on each of the two basis.
Fritz Oberhettinger, Kusum L. Soni (1972)
Mathematische Zeitschrift
Dahiya, R.S., Singh, Bhagat (1974)
Portugaliae mathematica
Manilal Shah (1972)
Mathematica Scandinavica
Kaori Ota (1994)
Acta Arithmetica
M.L. Glasser, Nabil Shawagfeh (1983)
Aequationes mathematicae
G. P. Sharan (1980)
Publications de l'Institut Mathématique
G.P. Sharan (1980)
Publications de l'Institut Mathématique [Elektronische Ressource]
Jairo A. Charris, Guillermo Rodriguez-Blanco (1990)
Revista colombiana de matematicas
Qiu-Ming Luo (2004)
Open Mathematics
In the present paper, we obtain two new formulas of the Apostol-Bernoulli polynomials (see On the Lerch Zeta function. Pacific J. Math., 1 (1951), 161–167.), using the Gaussian hypergeometric functions and Hurwitz Zeta functions respectively, and give certain special cases and applications.
Gurappa, N., Jha, Pankaj K., Panigrahi, Prasanta K. (2007)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
Takeuchi, Yu (1998)
Revista Colombiana de Matemáticas
Jack Lee, P. Krishnalah (1980)
Banach Center Publications
Fausto Segala (1999)
Bollettino dell'Unione Matematica Italiana
Si prova una nuova formula di rappresentazione per la famosa funzione di Airy. Ne viene data applicazione per la determinazione di certi bounds significativi per la funzione stessa.