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Title

Modi ed degenerate Carlitz's q-Bernoulli polynomials and numbers with weight ( ; )

Writers

Duran Ugur | Acikgoz Mehmet

Pages

 Start Page 135 | End Page 144

Abstract

 The main goal of the present paper is to construct some families of the Carlitz's q-Bernoulli polyno-mials and numbers. We rstly introduce the modi ed Carlitz's q-Bernoulli polynomials and numbers with weight (p. We then de ne the modi ed degenerate Carlitz's q-Bernoulli polynomials and num-bers with weight ( ; ) and obtain some recurrence relations and other identities. Moreover, we derive some correlations with the modi ed Carlitz's q-Bernoulli polynomials with weight ( ; ), the modi ed degenerate Carlitz's q-Bernoulli polynomials with weight ( ; ), the Stirling numbers of the ; rst kind and second kind.

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