Generalized Degenerated Bernoulli Numbers and Polynomials

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Published: 2013-09-15

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Ramprasad Dangi
Department of Mathematics, Lord Krishna College of technology, Indore (M.P.)
Madhu Tiwari
Department of Mathematics, Govt. girls P.G. College Ujjain (M.P.)
C. L. Parihar
Indian Academy of Mathematics, Indore (M.P.)

Abstract

The Generalized degenerate Bernoulli numbers ( )
Bm
a l can be
defined by means of the exponential generating
function ( )
a
l
a l 



( ) / 1+ −1
1
t t . As further applications we derive
several identities,recurrences,andcongruences involving theGeneralized
Bernoulli numbers, Generalizeddegenerate Bernoulli numbers and
polynomials.
Keywords: Bernoulli polynomial, Bernoulli number, degenerate Bernoulli
polynomial, degenerate Bernoulli number,Generalizeddegenerate Bernoulli
polynomial.

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Vol. 17 No. 3 (2013): Table of Content

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Articles
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This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

How to Cite

1.
Generalized Degenerated Bernoulli Numbers and Polynomials. J. Int. Acad. Phys. Sci. [Internet]. 2013 Sep. 15 [cited 2026 Oct. 23];17(3):245-54. Available from: http://www.iaps.org.in/journal/index.php/journaliaps/article/view/551