DECOMPOSITION FORMULAS FOR THE GENERALIZID HYPERGEOMETRIC<sub>4</sub>F<sub>3</sub>FUNCTION
Anvar HasanovInstitute for Advanced Studies , 16 Spitamen str , Tashkent 100121 , UzbekistanMamasali TuraevDepartment of Mathematics , Dongguk University , Gyeongju 780-714 , Republic of KoreaJunesang ChoiDepartment of Mathematics , Dongguk University , Gyeongju 780-714 , Republic of Korea
2010en
Ochiq kirishBronza
ABI
Annotatsiya
By using the generalized operator method given by Burchnall and Chaundy in 1940, the authors present one-dimensional inverse pairs of symbolic operators. Many operator identities involving these pairs of symbolic operators are rst constructed. By means of these operator identities, 11 decomposition formulas for the generalized hypergeometric <TEX>$_4F_3$</TEX> function are then given. Furthermore, the integral representations associated with generalized hypergeometric functions are also presented.
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