Summation formulas for the function R1 [µ, δ, δ′; γ; ν, τ, z1, z2]

Yogesh M. Thakkar; Ajay K. Shukla

doi:10.5269/bspm.64982

Yogesh M. Thakkar Sardar Vallabhbhai National Institute of Technology, Surat
Ajay K. Shukla S. V. NATIONAL INSTITUTE OF TECHNOLOGY,SURAT-395007

Résumé

In this paper, we obtain finite and infinite summation formulas for Appell-type extension of $_pR_q(\nu,\tau;z)$ function, denoted as ${R_1}\left[ {\mu,\delta,\delta';\gamma;\nu ,\tau ,{z_1},{z_2}} \right]$ and confluent functions $R{\Phi _1}\left[ {\mu,\delta;\gamma;\nu ,\tau ,{z_1},{z_2}} \right], R{\Phi _2}\left[ {\delta,\delta';\gamma;\nu ,\tau ,{z_1},{z_2}} \right]$ and $R{\Phi _3}\left[ {\delta;\gamma;\nu ,\tau ,{z_1},{z_2}} \right].$

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