A (p,q)-Analogue of the Two-Variable Humbert Function: Generating Functions, Difference Equations, and Recurrence Relations for Engineering Computation
DOI:
https://doi.org/10.63318/waujpasv4i2_64Keywords:
(p,q)-Calculu, Two-variable Humbert function, Generating functions, Engineering computationAbstract
This paper introduces a -analogue of the two-variable Humbert function within post-quantum calculus. Using generating functions and -differential operators, an explicit representation is derived, and its generating function, difference equations, recurrence relations, and polynomial identities are established. These results extend selected properties of classical Humbert functions to the -setting and provide a theoretical foundation for future symbolic and numerical applications in engineering and applied mathematics.
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