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Papers by Dr. Nanigopal Mandal

Research paper thumbnail of Solution of a system of generalized Abel integral equations using fractional calculus

Applied Mathematics Letters, Sep 1, 1996

Research paper thumbnail of Integral expansions related to Mehler-Fock type transforms : some new types of integral transforms involving spherical harmonics

Addison Wesley Longman eBooks, 1997

Integral expansions related to Mehler-Fock transforms integral expansions relaated to Mehler-Fock... more Integral expansions related to Mehler-Fock transforms integral expansions relaated to Mehler-Fock type transforms involving associated Legendre functions integral expansions related to Mehler-Fock type transforms involving generalized associated Legendre functions some further integral expansions.

Research paper thumbnail of On a Class of Dual Integral Equations Involving Generalized Associated Legendre Functions

Proceedings of Indian National Science Academy, 2015

ON A CLASS OF DUAL INTEGRAL EQUATIONS INVOLVING GENERALIZED ASSOCIATED LEGENDRE FUNCTIONS

Research paper thumbnail of Dual integral equations with Bessel function kernel

Advances in dual integral equations, 2022

Research paper thumbnail of Hybrid dual integral equations

Advances in dual integral equations, 2022

Research paper thumbnail of Advances in dual integral equations

Page 1. к CHAPMAN & HALL/CRC Research Notes in Mathematics 400 BN Mandal and Nanigopal Ma... more Page 1. к CHAPMAN & HALL/CRC Research Notes in Mathematics 400 BN Mandal and Nanigopal Mandal Advances in dual integral equations CHAPMAN & HALL/CRC Page 2. Page 3. В.N. Mandal Indian Statistical Institute ...

Research paper thumbnail of Dual integral equations involving inverse Mellin transforms

Advances in dual integral equations, 2022

Research paper thumbnail of Dual integral equations with spherical harmonic kernel

Advances in dual integral equations, 2022

Research paper thumbnail of Dual integral equations with trigonometric function kernel

Advances in dual integral equations, 2022

Research paper thumbnail of On some dual integral equations involving Legendre and associated Legendre functions

Journal of the Indian Institute of Science, 1993

Dual integral equations involving Legendre and associated Legendre functions as kernels are consi... more Dual integral equations involving Legendre and associated Legendre functions as kernels are considered in this paper. Except for one pair, these dual integral equations are first reduced to solving some appropriate ordinary differential eauations. Invoking. the inversion formulae for Abel internal eauations. closed-fonn solutions to -. these dual integral equations are obtained in most cases and in other cases they are reduced to some appropriate Fredholm integral equation of the second kind. For the exceptional dual integral equations pair which involves the associated Legendre function as kernel, a direct method of the use of Abel integral equation is applied to obtain the closed-form solution. As an example of application of these dual integral equations a problem arising from mathematical physics is considered.

Research paper thumbnail of On some integral transforms integral equations and their applications

Research paper thumbnail of Integral Expansions Related to Mehler-Fock Type Transforms

Integral expansions related to Mehler-Fock transforms integral expansions relaated to Mehler-Fock... more Integral expansions related to Mehler-Fock transforms integral expansions relaated to Mehler-Fock type transforms involving associated Legendre functions integral expansions related to Mehler-Fock type transforms involving generalized associated Legendre functions some further integral expansions.

Research paper thumbnail of Solutions of Some Dual Integral Equations

Research paper thumbnail of A note on dual integral equations involving inverse associated Weber-Orr transforms

International Journal of Mathematics and Mathematical Sciences, 1996

We consider dual integral equations involving inverse associated Weber-Orr transforms. Elementary... more We consider dual integral equations involving inverse associated Weber-Orr transforms. Elementary methods have been used to reduce dual integral equations to a Fredholm integral equation of second kind. Some known results are obtained as special case.

Research paper thumbnail of Expansion of a class of functions into an integral involving associated Legendre functions

International Journal of Mathematics and Mathematical Sciences, 1994

A theorem for expansion of a class of functions into an integral involving associated Legendre fu... more A theorem for expansion of a class of functions into an integral involving associated Legendre functions is obtained in this paper. This is a somewhat general integral expansion formula for a functionf(x)defined in(x1,x2)where-1<x1<x2<1, which is perhaps useful in solving certain boundary value problems of mathematical physics and of elasticity involving conical boundaries.

Research paper thumbnail of Integral expansions related to Mehler-Fok type transforms

Applied Mathematics Letters, 1993

This peper concerns itself with integal expansion, somewhat related to the Mehler-Fok type integr... more This peper concerns itself with integal expansion, somewhat related to the Mehler-Fok type integral transform, of 8 class of functions in terms of the associated Legendre functions. In the expansion formula, the supemcript of the 8ssociated Legendre functions appears 8s 8n integration variable. Integral expansions of some simple functions 8re given as examples.

Research paper thumbnail of Solution of a system of generalized Abel integral equations using fractional calculus

Applied Mathematics Letters, Sep 1, 1996

Research paper thumbnail of Integral expansions related to Mehler-Fock type transforms : some new types of integral transforms involving spherical harmonics

Addison Wesley Longman eBooks, 1997

Integral expansions related to Mehler-Fock transforms integral expansions relaated to Mehler-Fock... more Integral expansions related to Mehler-Fock transforms integral expansions relaated to Mehler-Fock type transforms involving associated Legendre functions integral expansions related to Mehler-Fock type transforms involving generalized associated Legendre functions some further integral expansions.

Research paper thumbnail of On a Class of Dual Integral Equations Involving Generalized Associated Legendre Functions

Proceedings of Indian National Science Academy, 2015

ON A CLASS OF DUAL INTEGRAL EQUATIONS INVOLVING GENERALIZED ASSOCIATED LEGENDRE FUNCTIONS

Research paper thumbnail of Dual integral equations with Bessel function kernel

Advances in dual integral equations, 2022

Research paper thumbnail of Hybrid dual integral equations

Advances in dual integral equations, 2022

Research paper thumbnail of Advances in dual integral equations

Page 1. к CHAPMAN &amp; HALL/CRC Research Notes in Mathematics 400 BN Mandal and Nanigopal Ma... more Page 1. к CHAPMAN &amp; HALL/CRC Research Notes in Mathematics 400 BN Mandal and Nanigopal Mandal Advances in dual integral equations CHAPMAN &amp; HALL/CRC Page 2. Page 3. В.N. Mandal Indian Statistical Institute ...

Research paper thumbnail of Dual integral equations involving inverse Mellin transforms

Advances in dual integral equations, 2022

Research paper thumbnail of Dual integral equations with spherical harmonic kernel

Advances in dual integral equations, 2022

Research paper thumbnail of Dual integral equations with trigonometric function kernel

Advances in dual integral equations, 2022

Research paper thumbnail of On some dual integral equations involving Legendre and associated Legendre functions

Journal of the Indian Institute of Science, 1993

Dual integral equations involving Legendre and associated Legendre functions as kernels are consi... more Dual integral equations involving Legendre and associated Legendre functions as kernels are considered in this paper. Except for one pair, these dual integral equations are first reduced to solving some appropriate ordinary differential eauations. Invoking. the inversion formulae for Abel internal eauations. closed-fonn solutions to -. these dual integral equations are obtained in most cases and in other cases they are reduced to some appropriate Fredholm integral equation of the second kind. For the exceptional dual integral equations pair which involves the associated Legendre function as kernel, a direct method of the use of Abel integral equation is applied to obtain the closed-form solution. As an example of application of these dual integral equations a problem arising from mathematical physics is considered.

Research paper thumbnail of On some integral transforms integral equations and their applications

Research paper thumbnail of Integral Expansions Related to Mehler-Fock Type Transforms

Integral expansions related to Mehler-Fock transforms integral expansions relaated to Mehler-Fock... more Integral expansions related to Mehler-Fock transforms integral expansions relaated to Mehler-Fock type transforms involving associated Legendre functions integral expansions related to Mehler-Fock type transforms involving generalized associated Legendre functions some further integral expansions.

Research paper thumbnail of Solutions of Some Dual Integral Equations

Research paper thumbnail of A note on dual integral equations involving inverse associated Weber-Orr transforms

International Journal of Mathematics and Mathematical Sciences, 1996

We consider dual integral equations involving inverse associated Weber-Orr transforms. Elementary... more We consider dual integral equations involving inverse associated Weber-Orr transforms. Elementary methods have been used to reduce dual integral equations to a Fredholm integral equation of second kind. Some known results are obtained as special case.

Research paper thumbnail of Expansion of a class of functions into an integral involving associated Legendre functions

International Journal of Mathematics and Mathematical Sciences, 1994

A theorem for expansion of a class of functions into an integral involving associated Legendre fu... more A theorem for expansion of a class of functions into an integral involving associated Legendre functions is obtained in this paper. This is a somewhat general integral expansion formula for a functionf(x)defined in(x1,x2)where-1<x1<x2<1, which is perhaps useful in solving certain boundary value problems of mathematical physics and of elasticity involving conical boundaries.

Research paper thumbnail of Integral expansions related to Mehler-Fok type transforms

Applied Mathematics Letters, 1993

This peper concerns itself with integal expansion, somewhat related to the Mehler-Fok type integr... more This peper concerns itself with integal expansion, somewhat related to the Mehler-Fok type integral transform, of 8 class of functions in terms of the associated Legendre functions. In the expansion formula, the supemcript of the 8ssociated Legendre functions appears 8s 8n integration variable. Integral expansions of some simple functions 8re given as examples.