@article{LAHIRI_SATYANARAYANA_1997, title={DISCRETE AND PSEUDO ORTHOGONALITY FOR A CLASS OF GENERALIZED HYPERGEOMETRIC FUNCTIONS}, volume={28}, url={https://journals.math.tku.edu.tw/index.php/TKJM/article/view/4311}, DOI={10.5556/j.tkjm.28.1997.4311}, abstractNote={<div class="page" title="Page 1"> <div class="layoutArea"> <div class="column"> <p><span style="font-size: 12.000000pt; font-family: ’TimesNewRomanPSMT’;">In his Ph. </span><span style="font-size: 9.000000pt; font-family: ’TimesNewRomanPSMT’;">D. </span><span style="font-size: 12.000000pt; font-family: ’TimesNewRomanPSMT’;">thesis [</span><span style="font-size: 9.000000pt; font-family: ’TimesNewRomanPSMT’;">11] </span><span style="font-size: 12.000000pt; font-family: ’TimesNewRomanPSMT’;">Satyanarayana defined and studied the generalized hypergeo­ metric functions $</span><span style="font-size: 10.000000pt; font-family: ’DFKaiShu-SB-Estd-BF’;">I_n^\alpha</span><span style="font-size: 12.000000pt; font-family: ’TimesNewRomanPSMT’;">(x,w)$ and $</span><span style="font-size: 9.000000pt; font-family: ’TimesNewRomanPSMT’;">H</span><span style="font-size: 12.000000pt; font-family: ’TimesNewRomanPSMT’;"><span style="font-size: 10.000000pt; font-family: ’DFKaiShu-SB-Estd-BF’;">_n^\alpha</span>(x,w).$ In the present paper we consider discrete orthogonality for $I<span style="font-size: 10.000000pt; font-family: ’DFKaiShu-SB-Estd-BF’;">_n^\alpha</span>(x,w)$ </span><span style="font-size: 12.000000pt; font-family: ’TimesNewRomanPSMT’;">and pseudo orthogonality for $H<span style="font-size: 10.000000pt; font-family: ’DFKaiShu-SB-Estd-BF’;">_n^\alpha</span>(x,w)$</span><span style="font-size: 12.000000pt; font-family: ’TimesNewRomanPSMT’;">. We also obtain some interesting applications of the results of our investigation. </span></p> </div> </div> </div>}, number={4}, journal={Tamkang Journal of Mathematics}, author={LAHIRI, MAYA and SATYANARAYANA, BAVANARI}, year={1997}, month={Dec.}, pages={325–332} }