MULTIPLE EULER TYPE INTEGRAL REPRESENTATIONS FOR THE KAMP´E DE F´ERIET FUNCTIONS
Tuhtasin ErgashevNational Research University “Tashkent Institute of Irrigation and Agricultural Mechanization Engineers”Anvar HasanovRomanovskiy Institute of Mathematics, National Academy of Sciences; Ghent UniversityT. K. YuldashevTashkent State University of Economics
ABI
Аннотация
By the aid of Appell, Humbert and Bessel functions, the integral representations for a Kamp´e de F´eriet function are found. The validity of integral representations for a Kamp´e de F´eriet function of general form are proved. Conditions, under which these representations are expressed in terms of products of two generalized hypergeometric functions are found. Examples, in which the integral representation of the Kamp´e de F´eriet function containing Appell, Humbert or Bessel functions, are identified.
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