\(q\)-analogues of the Bernoulli and Genocchi polynomials and the Srivastava-Pintér addition theorems (Q714212)
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scientific article; zbMATH DE number 6096192
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(q\)-analogues of the Bernoulli and Genocchi polynomials and the Srivastava-Pintér addition theorems |
scientific article; zbMATH DE number 6096192 |
Statements
\(q\)-analogues of the Bernoulli and Genocchi polynomials and the Srivastava-Pintér addition theorems (English)
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19 October 2012
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Summary: The main purpose of this paper is to introduce and investigate a new class of generalized Bernoulli and Genocchi polynomials based on the \(q\)-integers. The \(q\)-analogues of well-known formulas are derived. The \(q\)-analogue of the Srivastava-Pintér addition theorem is obtained.
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generalized Bernoulli polynomials
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generalized Genocchi polynomials
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\(q\)-integers
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\(q\)-analogue of the Srivastava-Pintér addition theorem
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