Various results in relation with the hypergeometric equations and the hypergeometric functions in the complex plane
DOI:
https://doi.org/10.24193/subbmath.2020.3.03Keywords:
Complex plane, the second-order ordinary linear differential equation, the confluent hypergeometric equation, the confluent hypergeometric function, special functions defined by complex series, inequalities and equations in the complex plane.Abstract
The main purpose of this investigation is to specify an extensive relation between the hypergeometric functions and the hypergeometric equations in the complex plane and then to point various implications of our main result, conclusion and also recommendations out.
Mathematics Subject Classification (2010): 30A10, 34A40, 33C05, 33C20, 33C45, 30C15, 33D15, 30D05, 33E20, 34K06, 37K20.
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