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On a relation connecting the second solution of Tchebicheff's equations of the second kind and Bessel function

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Riassunto

Lo scopo di questa nota è di ottenere col metodo del calcolo operazionale, una relazione fra la seconda soluzione dell'equazione di Tschebicheff di secondo genere, e la funzione di Bessell. Viene data inoltre qualche altra relazione.

Summary

The object of this note is to obtain by the method of operational Calculus a relation connecting the second solution of Tchebycheff's equation of the second kind and Bessel function. Some other allied relations have also been given.

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References

  1. B. N. Mukherjee andT. S. Nanjundiah (1952). Proc. of Indian Academy of Science, vol. 35, p. 19.

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  2. Formulae pour le Calcul Simbolique (1950) C.p. 36.

  3. Szego, (1939), Orthogonal Polynomials.

  4. Waston, (1952), Bessel Functions (Second Edition), p. 387.

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Authors
  1. Jyoti Chaudhuri
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Chaudhuri, J. On a relation connecting the second solution of Tchebicheff's equations of the second kind and Bessel function. Ann. Univ. Ferrara 10, 123–129 (1961). https://doi.org/10.1007/BF02824735

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  • DOI: https://doi.org/10.1007/BF02824735

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