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
Integral Transforms and Extended Hermite-Apostol Type Frobenius-Genocchi Polynomials
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DOI: 10.46793/kgjmat2401.041w
Abstract: The schemata for applications of the integral transforms of mathematical physics to recurrence relations, differential, integral, integro-differential equations and in the theory of special functions has been developed. The article aims to introduce and present… read more here.
Keywords: genocchi polynomials; integral transforms; type frobenius; frobenius genocchi ... See more keywords