[HTML][HTML] -Tricomi expansions and exponential integral associated with Hahn difference operator

KM Oraby - Boundary Value Problems, 2025 - boundaryvalueproblems …
In this paper, we introduce a $ q,\omega $-analog of Tricomi expansion based on Hahn's
difference operator. Some properties of $ q,\omega $-Tricomi expansion are derived and …

Indefinite q-integrals from a method using q-Riccati equations

GE Heragy, ZSI Mansour, KM Oraby - The Ramanujan Journal, 2024 - Springer
In an earlier work, a method was introduced for obtaining indefinite q-integrals of q-special
functions from the second-order linear q-difference equations that define them. In this paper …