Article

# A modified finite Hankel transform

Integral Transforms and Special Functions (Impact Factor: 0.73). 10/2003; 14:403-412. DOI: 10.1080/10652460310001600654

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**ABSTRACT:**The theory of Sturm-Liouville finite transforms is used to obtain a general form of the finite Hankel transform in the interval [a,b]. Different transforms are obtained, as particular cases. Finally, one of this transforms is applied to solve a boundary value problem.Revista Técnica de la Facultad de Ingeniería Universidad del Zulia 01/2008; · 0.05 Impact Factor - [Show abstract] [Hide abstract]

**ABSTRACT:**This paper deals with an extension of integral transform, involving Bessel functions as kernel. The inversion formula is established and some properties are given. The transform can be used to solve certain class of mixed boundary value problems. We consider the motion of an incompressible viscous fluid in an infinite right circular cylinder rotating about its axis as an application of this generalized finite Hankel transform.Applied Mathematics and Computation 07/2007; 190:705-711. · 1.60 Impact Factor - [Show abstract] [Hide abstract]

**ABSTRACT:**This paper deals with a new integral transform, involving a combination of Bessel functions as a kernel. The inversion formula is established and some properties are given. This transform can be used to solve some mixed boundary value problems. We consider here a problem of heat conduction in an infinite and semi-infinite cylinder a ≤ r ≤ b, with radiation-type boundary conditions.04/2004;

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