A NEW CLASS OF BERNOULLI POLYNOMIALS ATTACHED TO POLYEXPONENTIAL FUNCTIONS AND RELATED IDENTITIES
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초록
In [10], Kim and Kim de ned polyexponential functions as well as unipoly functions. They have introduced type 2 poly-Bernoulli polynomials, and gave their analytical properties. Motivated by [10], we introduce partially degenerate polyexponential-Bernoulli polynomials of the second kind. We derive some identities for these polynomials including type 2-Euler polynomials and Stirling numbers of the rst kind via generating function methods and analytical means. Finally, we represent Gaussian integral representation of polyexponential-Bernoulli polynomials of the second kind.
Abstract
In [10], Kim and Kim de ned polyexponential functions as well as unipoly functions. They have introduced type 2 poly-Bernoulli polynomials, and gave their analytical properties. Motivated by [10], we introduce partially degenerate polyexponential-Bernoulli polynomials of the second kind. We derive some identities for these polynomials including type 2-Euler polynomials and Stirling numbers of the rst kind via generating function methods and analytical means. Finally, we represent Gaussian integral representation of polyexponential-Bernoulli polynomials of the second kind.
참고문헌 (23)
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