In this paper, we introduce the q-truncated exponential polynomials by means of the integral form. Certain properties of the q-truncated exponential polynomials like series definition, recurrence relations, q-differential equations and integral representations are obtained. Also, we introduce the associated q-truncated exponential polynomials, higher order q-truncated exponential polynomials and higher order associated q-truncated exponential polynomials. Furthermore, we obtain their integral forms, generating functions, series definitions, summation and operational formulas.
A note on q-truncated exponential polynomials
Cesarano C.
2024-01-01
Abstract
In this paper, we introduce the q-truncated exponential polynomials by means of the integral form. Certain properties of the q-truncated exponential polynomials like series definition, recurrence relations, q-differential equations and integral representations are obtained. Also, we introduce the associated q-truncated exponential polynomials, higher order q-truncated exponential polynomials and higher order associated q-truncated exponential polynomials. Furthermore, we obtain their integral forms, generating functions, series definitions, summation and operational formulas.File in questo prodotto:
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