[PDF] Top 20 Some Properties of the Hermite Polynomials and Their Squares and Generating Functions
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Some Properties of the Hermite Polynomials and Their Squares and Generating Functions
... the generating functions e 2tx−t 2 and F(t) = F (t, x) defined in (4), present explicit formulas for the nth derivatives of the functions F (t) and e 2tx−t 2 , which can be viewed as ordinary ... See full document
14
The Hermite polynomials and the Bessel functions from a general point of view
... Various properties and possible generalizations of the above polynomials will be discussed in the following sections, where we will also consider the possibility of developing an approach to the theory of a ... See full document
10
A NOTE ON TYPE 2 DEGENERATE MULTI-POLY-BERNOULLI POLYNOMIALS AND NUMBERS
... multi-poly-Genocchi polynomials given by using the degenerate multi-polyexponential ...new generating function for the degenerate multi-poly-Bernoulli polynomials, called the type 2 degenerate ... See full document
8
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... consider generating functions for q-Hermite-Fubini numbers and polynomials and give some properties of these numbers and ...q- Hermite-Fubini numbers and ... See full document
10
Generating Functions for Products of Special Laguerre 2D and Hermite 2D Polynomials
... corresponding generating functions for odd Hermite ...both generating functions ...odd Hermite polynomials which can easily be obtained by sepa- rating the even and odd ... See full document
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Some identities of degenerate Euler polynomials associated with degenerate Bernstein polynomials
... special polynomials and numbers and investigating their properties, some identities related to them and their ...of generating functions, combinatorial methods, umbral calculus, p- adic ... See full document
11
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... degenerate Hermite poly- Genocchi polynomials and give some identities of these polynomials related to the Stirling numbers of the second ...kind. Some implicit summation formulae and ... See full document
9
On Humbert Matrix Polynomials of Two Variables
... matrix polynomials of two variables. Some hypergeometric matrix representations of the Humbert matrix polynomials of two variables, the double generating matrix functions and expansions ... See full document
5
A Note on the (p, q)-Hermite Polynomials
... the Hermite polynomials based on the (p; q)- numbers via an exponential generating function and investigate several properties and relations for mentioned polynomials including ... See full document
8
Generating function for q-Eulerian polynomials and their decomposition and applications
... special functions have been used to define and investigate q-Eulerian numbers and polynomials, see details ...various properties of q-Eulerian numbers and polynomials, which are related to the ... See full document
14
On Bilateral Generating Functions of Konhauser Biorthogonal Polynomials
... In 1965[1], Konhauser extended the notion of a particular pair of biorthogonal polynomial sets as introduced by Spencer and Fano [3] and established general properties of biorthogonal sets. In [2], Konhauser also ... See full document
6
The truncated exponential polynomials, the associated Hermite forms and applications
... the properties of the truncated exponential polynomials and develop the the- ory of new form of Hermite polynomials, which can be constructed using the truncated exponential as a ... See full document
10
Search | Preprints
... of Hermite-Fubini numbers and polynomials and investigate some properties of these ...these polynomials by summation techniques ...of Hermite-Fubini numbers and ... See full document
11
Search | Preprints
... Laguerre-based Hermite-Fubini numbers and polynomials and investigate some properties of these ...these polynomials by summation techniques ...Laguerre-based Hermite-Fubini num- ... See full document
12
SPECIAL LINEAR GROUP SL(2, C) AND GENERATING FUNCTIONS FOR ULTRASPHERICAL POLYNOMIALS
... Generating functions play an important role in the investigation of various useful properties of the sequences which they ...hypergeometric functions /polynomials with series ... See full document
11
Sumudu Transformation or What Else Can Laplace Transformation Do
... Belgacem and coauthors, e.g., [2] [3] [4] [5] [6] and many others, e.g., [7]. The article [2] contains basic examples of Sumudu transforms of functions. Since Laplace transformations are widely applied in ... See full document
32
Generating relations involving 2-variable Hermite matrix polynomials
... special functions is special matrix ...matrix polynomials is important due to their applications in certain areas of statistics, physics and ...The Hermite matrix polynomials are introduced by ... See full document
7
Composite Hermite and Anti Hermite Polynomials
... eigenfunctions, Hermite polynomials and the corresponding positive eigenvalues, while the anti-normal order form (3b) yields anti-eigenfunctions, anti-Hermite polynomials and the corresponding ... See full document
11
LINEAR AND BILINEAR GENERATING FUNCTIONS OF HEAT TYPE POLYNOMIALS SUGGESTED BYJACOBI POLYNOMIALS
... The object of the manuscript is to obtain several types of linear and bilinear generating functions for the heat type polynomials suggested by Jacobi polynomials.. Keywords: Jacobi p[r] ... See full document
9
The Transmuted Exponentiated Generalized-G Family of Distributions
... and some plots of their pdf's are given. We obtain in Section 5 some general mathematical properties of the proposed family including asymptotics, extreme values, ordinary and incomplete moments, ... See full document
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