The Journal of the Indian Mathematical Society

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Linear Difference Equations Associated with Certain Special Functions


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1 Calcutta University, India
     

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The functional equation

(n-1)fn+1(z) + (n + l)fn-1(z)-2/z(n2-1)fn(z)=0     (1)

can be transformed into the form

φn+1(Z)+ φn-1(Z) = 2n/zφ n( Z )     (2)

by the substitution

fn(Z) = nφn(z).   (3)


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  • Linear Difference Equations Associated with Certain Special Functions

Abstract Views: 214  |  PDF Views: 0

Authors

Hari Das Bagchi
Calcutta University, India
Phatik Chand Chatterjee
Calcutta University, India

Abstract


The functional equation

(n-1)fn+1(z) + (n + l)fn-1(z)-2/z(n2-1)fn(z)=0     (1)

can be transformed into the form

φn+1(Z)+ φn-1(Z) = 2n/zφ n( Z )     (2)

by the substitution

fn(Z) = nφn(z).   (3)