A NEW CLASS OF TRICOMI-LEGENDRE-HERMITE-BERNOULLI POLYNOMIALS
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In this paper, we introduce a new class of generalized Tricomi- Legendre-Hermite-Bernoulli polynomials and consequently of Tricomi, Bernoulli, and Hermite polynomials and their generalizations start from suitable generating functions. These polynomials are used to connect Fubini-Legendre-Hermite and Bell-Legendre-Hermite polynomials and to find new representations. We derive some implicit summation for- mulae for these families of special functions by applying the generating functions.
Abstract
In this paper, we introduce a new class of generalized Tricomi- Legendre-Hermite-Bernoulli polynomials and consequently of Tricomi, Bernoulli, and Hermite polynomials and their generalizations start from suitable generating functions. These polynomials are used to connect Fubini-Legendre-Hermite and Bell-Legendre-Hermite polynomials and to find new representations. We derive some implicit summation for- mulae for these families of special functions by applying the generating functions.
참고문헌 (18)
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