ANJORIN SHEHUDEEN ADERIBIGBE

Mathematics

At the Mathematics department office

Appointment on Visitation important

Topic: Solutions Of Heuns Equation By Nikivoroof Methods.

Description: MATHEMATICAL PHYSICS We described a new method of solving Heuns equation using the above metod. The solutions obtained were exactly the same as obtained by the other Authors.

#	Certificate	School	Year
1.	Ph.D (MATHEMATICAL PHYSICS)	UNIVERSITE DU ABOMEY CALAVI UAC COTONOU	2007

SOME SPECIAL SOLUTIONS OF DICONFLUENT HEUN EQUATION IN ELEMENTARY FUNCTIONS BY EXTENDED NIKIFOROV-UVAROV METHOD

The present study extends the well-known Nikiforov-Uvarov (NU) method to the Di-Confluent Heun's equation, which arises in various branches of mathematical physics. By adapting the NU method to this class of differential equations, we derived several distinct forms of analytical solutions. Each of these solutions corresponds to a specific set of eigenvalues, which were explicitly determined in the process. To begin, the fundamental steps of the Nikiforov-Uvarov method were outlined, including the transformation of the original equation into a hypergeometric-type form, identification of the appropriate parameters, and construction of the corresponding eigenfunctions. Through these steps, complete solutions to the Di-Confluent Heun's equation were obtained. The results confirm the effectiveness and flexibility of the NU method when extended beyond its conventional applications. Although the standard NU technique is typically limited to differential equations with at most three singular points, this study demonstrates its successful application to the Di-Confluent case. This suggests that with appropriate modifications, the method may also be extended to Confluent, Bi-Confluent, and Tri-Confluent Heun's equations for broader applicability.

ANJORIN ADERIBIGBE is a Senior Lecturer at the Department of Mathematics

ANJORIN has a Ph.D in MATHEMATICAL PHYSICS from UNIVERSITE DU ABOMEY CALAVI UAC COTONOU