Some results on Laplace-Stieltjes transform

Authors

  • L. GALU Centro de Investigación de Matemática Aplicada (CIMA), Facultad de Ingeniería, Universidad del Zulia, Maracaibo, Venezuela
  • H. PRADO Departamento de Matemática y Ciencia de la Computación, Universidad de Santiago, Chile Casilla 307, Correo 2 Santiago, Chile
  • S. KALLA Department of Computer Engineering, Vyas Institutes of Higher Education, Jodhpur, India

Keywords:

Laplace-Stieltjes, transform, convolution, integrals.

Abstract

Two general theorems on Laplace-Stieltjes transform are established. One theorem is a generalized convolution theorem, while the second is a generalized Parseval theorem for a operator with kernel k(s,t). Several special cases can be derived from these theorems. One section is devoted to applications of these theorems to evaluate some integrals.

References

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Published

26-09-2013

Issue

Vol. 40 No. 2 (2013): Kuwait Journal of Science

Section

Mathematics