In some recent investigations with differential operators for the generalized Cesáro polynomials, Özmen et al. [N. Özmen, E. Erkuş-Duman, Some families of generating functions for the generalized Cesáro polynomials, J. Comp. Anal. Appl. 25(4), 670–683, 2018.] encountered and proved a certain summation identity for the multivariable \( - \) multiparameter generalized Cesáro polynomials. In the present paper, we investigate several families of bilateral generating functions for the multivariable \( - \) multiparameter generalized Cesáro polynomials and the Srivastava-Daoust (or generalized Lauricella) functions.

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The Multivariable-Multiparameter Generalized Cesáro Polynomials and the Generalized Lauricella Functions

  • Nejla Özmen

摘要

In some recent investigations with differential operators for the generalized Cesáro polynomials, Özmen et al. [N. Özmen, E. Erkuş-Duman, Some families of generating functions for the generalized Cesáro polynomials, J. Comp. Anal. Appl. 25(4), 670–683, 2018.] encountered and proved a certain summation identity for the multivariable \( - \) multiparameter generalized Cesáro polynomials. In the present paper, we investigate several families of bilateral generating functions for the multivariable \( - \) multiparameter generalized Cesáro polynomials and the Srivastava-Daoust (or generalized Lauricella) functions.