On Some Extended Results in Functional \(q(t)\)-Calculus: Theoretical and Numerical Applications

S. S. Manjarekar; V. R. Nikam

doi:10.26713/cma.v16i3.3269

Authors

S. S. Manjarekar Department of Mathematics and Research, L. V. H. ASC College (Autonomous) (affiliated to Savitribai Phule Pune University), Panchavati, Nashik 422003, Maharashtra, India https://orcid.org/0009-0006-9411-355X
V. R. Nikam Department of Mathematics and Research, L. V. H. ASC College (Autonomous) (affiliated to Savitribai Phule Pune University), Panchavati, Nashik 422003, Maharashtra, India https://orcid.org/0000-0003-2511-0217 (unauthenticated)

DOI:

https://doi.org/10.26713/cma.v16i3.3269

Keywords:

q- calculus, q - Identities, Hypergeometric functions, Quantum calculus

Abstract

This paper provides further applications of a functional approach to quantum calculus, towards functional \(q(t)\)-integral, functional \(q(t)\)-Taylor’s formula difference equations with variable coefficients together with functional quantum congruence theory.

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