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• W4313408517 abstract "The major goal of the current article is to create new formulas and connections between several well-known polynomials and the Euler polynomials. These formulas are developed using some of these polynomials’ well-known fundamental characteristics as well as those of the Euler polynomials. In terms of the Euler polynomials, new formulas for the derivatives of various symmetric and non-symmetric polynomials, including the well-known classical orthogonal polynomials, are given. This leads to the deduction of several new connection formulas between various polynomials and the Euler polynomials. As an important application, new closed forms for the definite integrals for the product of various symmetric and non-symmetric polynomials with the Euler polynomials are established based on the newly derived connection formulas." @default.
• W4313408517 created "2023-01-06" @default.
• W4313408517 creator A5014154468 @default.
• W4313408517 creator A5041419511 @default.
• W4313408517 date "2022-12-18" @default.
• W4313408517 modified "2023-09-25" @default.
• W4313408517 title "New Formulas and Connections Involving Euler Polynomials" @default.
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• W4313408517 doi "https://doi.org/10.3390/axioms11120743" @default.
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