Construction on the Degenerate Poly-Frobenius-Euler Polynomials of Complex Variable
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DOI: 10.1155/2021/3115424
Abstract: In this paper, we introduce degenerate poly-Frobenius-Euler polynomials and derive some identities of these polynomials. We give some relationships between degenerate poly-Frobenius-Euler polynomials and degenerate Whitney numbers and Stirling numbers of the first kind. Moreover,… read more here.
Keywords: euler polynomials; poly frobenius; degenerate poly; frobenius euler ... See more keywords
Construction of Fourier expansion of Apostol Frobenius–Euler polynomials and its applications
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DOI: 10.1186/s13662-018-1526-x
Abstract: In the present paper, we find the Fourier expansion of the Apostol Frobenius–Euler polynomials. By using a Fourier expansion of the Apostol Frobenius–Euler polynomials, we derive some new and interesting results. read more here.
Keywords: apostol frobenius; expansion apostol; euler polynomials; fourier expansion ... See more keywords
Truncated-exponential-based Frobenius–Euler polynomials
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DOI: 10.1186/s13662-019-2462-0
Abstract: In this paper, we first introduce a new family of polynomials, which are called the truncated-exponential based Frobenius–Euler polynomials, based upon an exponential generating function. By making use of this exponential generating function, we obtain… read more here.
Keywords: truncated exponential; exponential based; frobenius euler; euler polynomials ... See more keywords
Explicit Properties of Apostol-Type Frobenius–Euler Polynomials Involving q-Trigonometric Functions with Applications in Computer Modeling
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DOI: 10.3390/math11102386
Abstract: In this article, we define q-cosine and q-sine Apostol-type Frobenius–Euler polynomials and derive interesting relations. We also obtain new properties by making use of power series expansions of q-trigonometric functions, properties of q-exponential functions, and… read more here.
Keywords: trigonometric functions; apostol type; euler polynomials; frobenius euler ... See more keywords
Fourier Series Expansion and Integral Representation of Apostol-Type Frobenius-Euler Polynomials of Complex Parameters and Order α
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DOI: 10.3390/sym14091860
Abstract: In this paper, the Fourier series expansions of Apostol-type Frobenius–Euler polynomials of complex parameters and order α are derived, and consequently integral representations of these polynomials are established. This paper provides some techniques in computing… read more here.
Keywords: frobenius euler; euler polynomials; type frobenius; apostol type ... See more keywords