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فهرست مقالات

Modified degenerate Carlitz's q-bernoulli polynomials and numbers with weight (alpha ,beta )

نویسنده:

علمی-پژوهشی (وزارت علوم)/ISC (10 صفحه - از 135 تا 144)

چکیده:

The main goal of the present paper is to construct some families of the Carlitz's q-Bernoulli polynomials and numbers. We firstly introduce the modified Carlitz's q-Bernoulli polynomials and numbers with weight (_{p}. We then define the modified degenerate Carlitz's q-Bernoulli polynomials and numbers with weight (alpha ,beta) and obtain some recurrence relations and other identities. Moreover, we derive some correlations with the modified Carlitz's q-Bernoulli polynomials with weight (alpha ,beta ), the modified degenerate Carlitz's q-Bernoulli polynomials with weight (alpha ,beta ), the Stirling numbers of the first kind and second kind.

کلیدواژه ها:

Carlitz's q-Bernoulli polynomials ،Stirling numbers of the first kind ،Stirling numbers of the second kind ،p-adic q-integral


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