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A Note on Degenerate Euler and Bernoulli Polynomials of Complex Variable

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Recently, the so-called new type Euler polynomials have been studied without considering Euler polynomials of a complex variable. Here we study degenerate versions of these new type Euler polynomials. This… Click to show full abstract

Recently, the so-called new type Euler polynomials have been studied without considering Euler polynomials of a complex variable. Here we study degenerate versions of these new type Euler polynomials. This has been done by considering the degenerate Euler polynomials of a complex variable. We also investigate corresponding ones for Bernoulli polynomials in the same manner. We derive some properties and identities for those new polynomials. Here we note that our result gives an affirmative answer to the question raised by the reviewer of the paper.

Keywords: euler; bernoulli polynomials; complex variable; euler polynomials; polynomials complex; degenerate euler

Journal Title: Symmetry
Year Published: 2019

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