Abstract: In this paper, we proved transformation formulas for nonterminating very well-poised 4Φ3-series, 4Ψ4-series, 6Φ5-series, 6Ψ6-series, 8Φ7-series and 8Ψ8-series, which utilize the method of ...

In this paper, we present formulas that turn finite power series into series of shifted Chebyshev polynomials of the first kind. Thereafter, we derive formulas for coefficients of economized power ...

In the literature, the Bailey transform has many applications in basic hypergeometric series. In this paper, we derive many new transformation formulas for q-series by means of the Bailey transform.

Have you been craving a better understanding of formulas and functions? Have you reached out to me for help on Twitter, and asked for tutorials too? Well, ask and you will receive! The new Friday ...