scholarly journals Some Families of Generating Functions for the Bessel Polynomials

1997 ◽  
Vol 211 (1) ◽  
pp. 314-325 ◽  
Author(s):  
Sheldon Yang ◽  
H.M Srivastava
Keyword(s):  
Generating Functions ◽  
Bessel Polynomials

Some Generating Functions for the Generalized Bessel Polynomials

1992 ◽  
Vol 87 (4) ◽  
pp. 351-366 ◽  
Author(s):  
Ming-Po Chen ◽  
Chia-Chin Feng ◽  
H. M. Srivastava
Keyword(s):  
Generating Functions ◽  
Bessel Polynomials

scholarly journals Some generating functions of modified Bessel polynomials from the view point of Lie group

1984 ◽  
Vol 7 (4) ◽  
pp. 823-825 ◽  
Author(s):  
Asit Kumar Chongdar
Keyword(s):  
Lie Group ◽  
Generating Functions ◽  
View Point ◽  
Bessel Polynomials

In this paper we have derived a class of bilateral generating relation for modified Bessel polynomials from the view point of Lie group. An application of our theorem is also pointed out.

Generating Functions for Bessel and Related Polynomials

1953 ◽  
Vol 5 ◽  
pp. 104-106 ◽  
Author(s):  
E. D. Rainville
Keyword(s):  
Generating Functions ◽  
Bessel Polynomials ◽  
Image Position

Krall and Frink [4] aroused interest in what they term Bessel polynomials. They studied in some detail what may, in hypergeometric form, be written as

Short Generating Functions for some Semigroup Algebras

10.37236/1729 ◽  
2003 ◽  
Vol 10 (1) ◽  
Author(s):  
Graham Denham
Keyword(s):  
Rational Function ◽  
Generating Functions ◽  
Hilbert Series ◽  
Simple Expression ◽  
Arbitrary Field ◽  
Graded Algebra ◽  
Semigroup Algebras ◽  
Positive Integers

Let $a_1,\ldots,a_n$ be distinct, positive integers with $(a_1,\ldots,a_n)=1$, and let k be an arbitrary field. Let $H(a_1,\ldots,a_n;z)$ denote the Hilbert series of the graded algebra k$[t^{a_1},t^{a_2},\ldots,t^{a_n}]$. We show that, when $n=3$, this rational function has a simple expression in terms of $a_1,a_2,a_3$; in particular, the numerator has at most six terms. By way of contrast, it is known that no such expression exists for any $n\geq4$.

New family of Whitney numbers

Filomat ◽  
2017 ◽  
Vol 31 (2) ◽  
pp. 309-320 ◽  
Author(s):  
B.S. El-Desouky ◽  
Nenad Cakic ◽  
F.A. Shiha
Keyword(s):  
Generating Functions ◽  
Recurrence Relations ◽  
Stirling Numbers ◽  
Explicit Formulas ◽  
Basic Properties ◽  
New Family ◽  
Whitney Numbers ◽  
Special Cases

In this paper we give a new family of numbers, called ??-Whitney numbers, which gives generalization of many types of Whitney numbers and Stirling numbers. Some basic properties of these numbers such as recurrence relations, explicit formulas and generating functions are given. Finally many interesting special cases are derived.

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