Extended Hypergeometric Functions and Orthogonal Polynomials

1. Generalized $k$ type-hypergeometric functions as the Meijer G-function<br>2. Matrix analogue of new class of hypergeometric function<br>3. Some extended type hypergeometric functions of two and three variables<br>4. AN EXTENSION OF k-GAMMA AND k-BETA MATRIX FUNCTION BY USE OF TWO PARAMETER k-MITTAG-LEFFLER FUNCTION<br>5. $k$-TYPE CAPUTO FRACTIONAL DERIVATIVE OPERATOR AND ITS PROPERTIES<br>6. AN EXTENSION OF k-HYPERGEOMETRIC FUNCTIONS<br>7. Certain Pathway Fractional Integral Formulae Involving Extended $k$-Hypergeometric Functions.<br>8. Certain integral transforms for the k- hypergeometric function<br>9. Generalized Riemann- Liouville k- fractional derivative and its properties<br>10. Main Results on U–Bernoulli Korobov-type polynomials and their Approximate Roots<br>11. Solvability of the Cauchy problem for a fractionally loaded equation with variable coefficients<br>12. Inverse problem for the loaded heat conductivity equation with variable coefficients<br>13. Generalized arbitrary order Mittag-Leffler-type function and Marichev-Saigo-Maeda fractional operators<br>14. Fractional Integration and Differentiation of the Generalized Arbitrary Order Mittag-Leffler-Type Function<br>15. Generalized Fractional Order Kinetic Equations Involving Multi-Index Mittag-Leffler Function of Several Variables<br>16. Certain Integrals Involving $k$-type $R$- and $G$-Functions<br>17. Fractional Integrals and Solution of Fractional Kinetic Equations involving R-and G-Functions