q-EXTENSIONS OF SOME RELATIONSHIPS BETWEEN THE BERNOULLI AND EULER POLYNOMIALS

The main object of this paper is to giveq-extensions of several explicit relationships of H. M. Srivastava and Á. Pintér [Appl. Math. Lett. 17(2004), 375-380] between the Bernoulii and Euler polynomials. We also derive several other formulas in series of Carlitz'sq-Stirling numbers of the secon...

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Published inTaiwanese journal of mathematics Vol. 15; no. 1; pp. 241 - 257
Main Authors Luo, Qiu-Ming, Srivastava, H. M.
Format Journal Article
LanguageEnglish
Published Mathematical Society of the Republic of China 01.02.2011
Subjects
Mathematics
Polynomials
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Summary:The main object of this paper is to giveq-extensions of several explicit relationships of H. M. Srivastava and Á. Pintér [Appl. Math. Lett. 17(2004), 375-380] between the Bernoulii and Euler polynomials. We also derive several other formulas in series of Carlitz'sq-Stirling numbers of the second kind. 2000Mathematics Subject Classification: Primary 05A30, 33E20; Secondary 11B68, 11B73. Key words and phrases: Bernoulli polynomials, Euler polynomials,q-Bernoulli polynomials,q-Euler polynomials,q-Bernoulli numbers,q-Euler numbers, Kronecker symbol, Difference equations, Addition theorems, Recurrence relationships,q-Stirling numbers of the second kind,q-Extensions.
ISSN:1027-5487
2224-6851
DOI:10.11650/twjm/1500406173