EXPANSIONS OF KAMP´E DE F´ERIET HYPERGEOMETRIC FUNCTIONS

In 1940-1941, Burchnall and Chaundy, using the inverse pairs of symbolic operators introduced, systematically presented a number of expansion formulas for second-order Appell and Humbert hypergeometric functions in series of simpler hypergeometric functions. In 2006, Hasanov and Srivastava generalized Burchnall-Chaundy operators and found expansions for a class of multiple hypergeometric functions, however, the application of these operators is still limited to second-order hypergeometric functions. In this paper, we obtain expansions for the Kamp´e de F´eriet functions of arbitrary orders.

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