Certain fractional q-integrals and q-derivatives

Ravi P. Agarwal1
1WEST VIRGINIA UNIVERSITY

Tóm tắt

In a recent paper Al-Salam(1) has denned a fractional q-integral operator by the basic integral

(1) Where α ≠ 0, −1, −2, …. Using the series definition of the basic integrals, (1·1) is written as

valid for all α

Từ khóa


Tài liệu tham khảo

10.1002/mana.19490030502

Erdelyi, 1951, On some functional transformations, Univ. e Politecnico Torino Rend. Sem. Mat., 10, 217

10.1002/mana.19490020604

10.1093/qmath/os-11.1.193

10.1017/S0013091500011469

Slater, 1966, J. Generalized Hypergeometric Functions