Title of article
Some binomial formulas of the generalized Appell form
Author/Authors
Luis Verde-Star، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2002
Pages
17
From page
755
To page
771
Abstract
The authors aim here at finding all the generalizations of the binomial formula that are
given by a generating-function of the generalized Appell form for a sequence of Newton
polynomials. The formulas obtained include the well-known q-analogue of the binomial
formula, several formulas involving hyperbolic functions, a trigonometric analogue, and
some formulas involving the geometric and the exponential series.
2002 Elsevier Science (USA). All rights reserved.
Keywords
Appell generating-functions , Generalized Stirling numbers , q-exponentialfunction , q-binomial formula , Divided difference functionals , difference (and q-derivative) operators , Recurrence relations , Newton polynomials , Binomial formulas
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2002
Journal title
Journal of Mathematical Analysis and Applications
Record number
930220
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