Modified degenerate Carlitz's q-bernoulli polynomials and numbers with weight (\alpha ,\beta )
Publish Year: 1396
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_IJNAA-8-2_013
تاریخ نمایه سازی: 11 آذر 1401
Abstract:
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.
Keywords:
Carlitz's q-Bernoulli polynomials , Stirling numbers of the first kind , Stirling numbers of the second kind , p-adic q-integral