generating functions
Generating Functions for Generalized Mock Theta Functions
... presenting generating functions for these generalized ...The generating func- tions can be suitably applied to yield numerous further re- sults involving these generalized ...
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Functional equations from generating functions: a novel approach to deriving identities for the Bernstein basis functions
... The Bernstein polynomials and related polynomials have been studied and defined in many different ways, for example, by q-series, complex functions, p-adic Volkenborn inte- grals and many algorithms. In this ...
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Moment-Generating Functions and Reproductive Properties of Distributions
... moment- generating functions to evaluate the expectation and variance of a random variable with probability distribution are ...moment- generating function can be a powerful tool for studying various ...
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ON GENERALIZATION OF WEIERSTRASS APPROXIMATION THEOREM FOR A GENERAL CLASS OF POLYNOMIALS AND GENERATING FUNCTIONS
... Abstract. Here, in this work we present a generalization of the Weierstrass Approxima- tion Theorem for a general class of polynomials. Then we generalize it for two variable continuous function F (x, t) and prove that ...
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Combinatorial Structures and Generating Functions of Fishburn Numbers, Parking Functions, and Tesler Matrices.
... parking functions and to Tesler matrices. Parking functions are combinatorial objects which generalize both permutations and Catalan ...the generating functions of two statistics, $area$ and ...
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Some Properties of the Hermite Polynomials and Their Squares and Generating Functions
... the generating functions of the Hermite polyno- mials and their squares, present explicit formulas for higher order derivatives of the generating functions of the Hermite polynomials and their ...
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Computation of Nevanlinna characteristic functions derived from generating functions of some special numbers
... Although Nevanlinna theory was studied intensively in complex analysis by many math- ematicians, it was not considered to apply the tools of Nevanlinna theory to generating functions of special numbers. ...
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Some Generating Functions of Modified Gegenbauer Polynomials by Lie Algebraic Method
... (n) and the parameter (λ) of the polynomial under consideration, we obtain, in section 2, a set of infinitesimal operators known as raising and the lowering operators which generates a four dimensional Lie algebra. ...
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Generating Functions for the Mean Value of a Function on a Sphere and Its Associated Ball in
... Research Article Generating Functions for the Mean Value of a Function on a Sphere and Its Associated Ball in Rn Antonela Toma Department of Mathematics II, University Politehnica of Buc[r] ...
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The Uniqueness and Irreducibility of P-partition Generating Functions.
... Hasebe and Tsujie showed in [11] that all rooted trees are uniquely determined by their partition generating function. Their proof relies on their result that rooted trees have irre- ducible partition ...
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Generating Functions for Products of Special Laguerre 2D and Hermite 2D Polynomials
... of generating functions are presented in the monographs [2] ...basic generating function for simple Laguerre 2D and Hermite 2D polynomials was solved in [9]-[12] ...of generating ...
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Generalized Elliptic-Type Integrals and Generating Functions with Multivariable Aleph-Function
... Elliptic-type integrals have their importance and potential in certain problems in radiation physics and nuclear technology [4,5,7,10,15,17,22,23]. A number of earlier works on the subject contains several interesting ...
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SPECIAL LINEAR GROUP SL(2, C) AND GENERATING FUNCTIONS FOR ULTRASPHERICAL POLYNOMIALS
... the generating functions for ultraspherical polynomials C n α ( ) x (Gegenbaur polynomials) are obtained by using the representation theory of the Lie group SL(2, C) (the complex special linear group) ...
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New Generating Functions for Measures of Inaccuracy
... improvement generating function with its derivative at point ...comprehensive functions in the domain of ...improvement generating functions recommended a new information pointer as the ...
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Generating Functions for β1(n) and β2(n)
... Generating Functions for 1n and 2n Das, Sabuj and Mohajan, Haradhan Assistant Professor, Premier University, Chittagong, Bangladesh.... International Journal of Scientific Knowledge Apri[r] ...
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Asymptotics of Bivariate Generating Functions with Algebraic Singularities
... on generating functions with poles relied on computing residues, but the branch point created by algebraic singularities forces us to use explicit contour deformations through homotopies ...a ...
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Reduction of High Degree Polynomial Functions Using Generating Functions
... Abstract — Creating of the empirical distribution for several independent random variables with a large number of values require the defining high degree polynomial by generating functions. Observation of ...
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ASYMPTOTICS OF BIVARIATE GENERATING FUNCTIONS WITH ALGEBRAIC SINGULARITIES
... rational generating function whose coefficients described the amplitude of a particle at any position in the integer lattice after n steps in a quantum ...These generating functions can be analyzed ...
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On a Paper in Connection with the Derivation of Generating Functions Involving Laguerre Polynomials
... In this section of the present note, we have given some of our observations on the works 1.2 . At first, we would like to mention that the authors of the paper 1 perhaps fail to notice the work 4 in which the above ...
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On trilateral and trilinear generating functions
... trilateral generating functions involving Laguerre, Jacobi and the two-parameter Srivastava polynomials of one ...trilateral generating functions involving Laguerre and Jacobi polynomials of ...
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