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Subuhi Khan,Mumtaz Ahmad Khan,Rehana Khan 대한수학회 2009 대한수학회지 Vol.46 No.6
This paper is an attempt to stress the usefulness of the multi-variable special functions. In this paper, we derive generating relations involving 3-variable 2-parameter Tricomi functions by using Lie-algebraic techniques. Further we derive certain new and known generating relations involving other forms of Tricomi and Bessel functions as applications.
Khan, Subuhi,Khan, Mumtaz Ahmad,Khan, Rehana Korean Mathematical Society 2009 대한수학회지 Vol.46 No.6
This paper is an attempt to stress the usefulness of the multivariable special functions. In this paper, we derive generating relations involving 3-variable 2-parameter Tricomi functions by using Lie-algebraic techniques. Further we derive certain new and known generating relations involving other forms of Tricomi and Bessel functions as applications.
OPERATIONAL CALCULUS ASSOCIATED WITH CERTAIN FAMILIES OF GENERATING FUNCTIONS
KHAN, REHANA,KHAN, SUBUHI Korean Mathematical Society 2015 대한수학회논문집 Vol.30 No.4
In this paper, we discuss how the operational calculus can be exploited to the theory of mixed generating functions. We use operational methods associated with multi-variable Hermite polynomials, Laguerre polynomials and Bessels functions to drive identities useful in electromagnetism, fluid mechanics etc. Certain special cases giving bilateral generating relations related to these special functions are also discussed.
Representations of a Lie Group G(0, 1) and Modified Laguerre Polynomials
Subuhi Khan,M. A. Pathan 경북대학교 자연과학대학 수학과 2004 Kyungpook mathematical journal Vol.44 No.1
In this paper we follow the approach of Miller ([4]) and obtain generating relations of modied Laguerre polynomials by extending the realizations of"!; and #!;to multiplier representations of a Lie group G(0;1). Many results of Miller, McBride and Srivastava and Manocha follow as special cases of our results. Generating relations of modied Laguerre polynomials are of interest due to its connections and reductions to a number of other special functions which are well known.
FINDING RESULTS FOR CERTAIN RELATIVES OF THE APPELL POLYNOMIALS
Ali, Mahvish,Khan, Subuhi Korean Mathematical Society 2019 대한수학회보 Vol.56 No.1
In this article, a hybrid family of polynomials related to the Appell polynomials is introduced. Certain properties including quasimonomiality, differential equation and determinant definition of these polynomials are established. Further, applications of Carlitz's theorem to these polynomials and to certain other related polynomials are considered. Examples providing the corresponding results for some members belonging to this family are also considered.
Finding results for certain relatives of the Appell polynomials
Mahvish Ali,Subuhi Khan 대한수학회 2019 대한수학회보 Vol.56 No.1
In this article, a hybrid family of polynomials related to the Appell polynomials is introduced. Certain properties including quasi-monomiality, differential equation and determinant definition of these polynomials are established. Further, applications of Carlitz's theorem to these polynomials and to certain other related polynomials are considered. Examples providing the corresponding results for some members belonging to this family are also considered.