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On the Analytic Continuation of Lauricella–Saran Hypergeometric Function FK(a1,a2,b1,b2;a1,b2,c3;z)
by
Goran, Vitaliy
, Antonova, Tamara
, Dmytryshyn, Roman
in
analytic continuation
/ branched continued fraction
/ convergence
/ holomorphic functions of several complex variables
/ Hypergeometric functions
/ Lauricella–Saran hypergeometric function
/ Neighborhoods
/ Polyvinylidene chlorides
/ Power series
2023
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On the Analytic Continuation of Lauricella–Saran Hypergeometric Function FK(a1,a2,b1,b2;a1,b2,c3;z)
by
Goran, Vitaliy
, Antonova, Tamara
, Dmytryshyn, Roman
in
analytic continuation
/ branched continued fraction
/ convergence
/ holomorphic functions of several complex variables
/ Hypergeometric functions
/ Lauricella–Saran hypergeometric function
/ Neighborhoods
/ Polyvinylidene chlorides
/ Power series
2023
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On the Analytic Continuation of Lauricella–Saran Hypergeometric Function FK(a1,a2,b1,b2;a1,b2,c3;z)
by
Goran, Vitaliy
, Antonova, Tamara
, Dmytryshyn, Roman
in
analytic continuation
/ branched continued fraction
/ convergence
/ holomorphic functions of several complex variables
/ Hypergeometric functions
/ Lauricella–Saran hypergeometric function
/ Neighborhoods
/ Polyvinylidene chlorides
/ Power series
2023
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On the Analytic Continuation of Lauricella–Saran Hypergeometric Function FK(a1,a2,b1,b2;a1,b2,c3;z)
Journal Article
On the Analytic Continuation of Lauricella–Saran Hypergeometric Function FK(a1,a2,b1,b2;a1,b2,c3;z)
2023
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Overview
The paper establishes an analytical extension of two ratios of Lauricella–Saran hypergeometric functions FK with some parameter values to the corresponding branched continued fractions in their domain of convergence. The PC method used here is based on the correspondence between a formal triple power series and a branched continued fraction. As additional results, analytical extensions of the Lauricella–Saran hypergeometric functions FK(a1,a2,1,b2;a1,b2,c3;z) and FK(a1,1,b1,b2;a1,b2,c3;z) to the corresponding branched continued fractions were obtained. To illustrate this, we provide some numerical experiments at the end.
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