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Banerji, P. K.
- On the Exchange Property for the Laplace Transform
Abstract Views :382 |
PDF Views:96
Authors
Affiliations
1 Department of Mathematics, Faculty of Science, J.N.V. University, Jodhpur - 342 005, IN
1 Department of Mathematics, Faculty of Science, J.N.V. University, Jodhpur - 342 005, IN
Source
Indian Journal of Science and Technology, Vol 3, No 2 (2010), Pagination: 196-198Abstract
In this paper we investigate the exchange property for the Laplace transform by using the relation between the Fourier transform and the Laplace transform. Simplified construction of tempered Boehmians is also presented.Keywords
Distribution, Boehmians, Tempered Distribution, Tempered Boehmians, Laplace TransformFull Text
References
- Atanasiu D and Mikusinski P (2005) On the Fourier transform and the exchange property. Intl. J. Math. Math. Sci. 16, 2579-2584.
- Banerji PK and Loonker D (2006) Laplace transform for Integrable Boehmians. Bull. Cal. Math. Soc. 98 (5), 465-470.
- Boehme TK (1973) The support of Mikusinski operators. Trans. Amer. Math. Soc. 176, 319-334.
- Mikusinski P (1995) Tempered Boehmians and ultradistributions. Proc. Amer. Math. Soc. 123, 813-817.
- Zemanian AH (1987) Distribution theory and transform analysis, Dover Publ., Inc., NY.
- Distributional Dual Series Equations and Fractional Calculus
Abstract Views :411 |
PDF Views:117
Authors
Affiliations
1 Department of Mathematics, Faculty of Science, JNV Univerity, Jodhpur- 342 005, IN
1 Department of Mathematics, Faculty of Science, JNV Univerity, Jodhpur- 342 005, IN
Source
Indian Journal of Science and Technology, Vol 6, No 1 (2013), Pagination: 3892-3897Abstract
Solutions of dual series equations are devised by multiplying factor technique and Abel integral equations and are reduced using fractional integral and derivatives and further, written in fractional calculus form the solution are employed for the distribution spaces.Keywords
Dual Series Equations, k-Bateman's Function, Fractional Integrals and Derivatives, Distribution SpacesFull Text
References
- Askey, R. (1968) Dual equations and orthogonal polynomials, J. Math. Anal. Appl. 24, 677-685.
- Erdélyi, A. (1972) Fractional integrals of generalized functions, J. Austral. Math. Soc. 14, 30-37.
- Erdélyi, A.(1975) Fractional integrals of generalized functions, In the Proceedings of International Conference held at the University of New Haven, 1974, “Fractional Calculus and its Applications” (Ed. Ross, B.), Lecture Notes in Mathematics # 457, Springer-Verlag, Berlin, New York, pp. 151-170
- Erdélyi, A. and McBride, A. C. (1970) Fractional integrals of distributions, SIAM J. Math. Anal. 1 , 547- 557.
- Lowndes, J. S. (1968) Some dual series equations involving Laguerre polynomials, Pacific J. Math. 25, 123-127.
- McBride, A. C. (1975) A theory of fractional integration for generalized functions, SIAM J. Math. Anal. 6 (3), 583-599.
- Miller, K. S. (1975) The Weyl fractional calculus, In the Proceedings of International Conference held at the University of New Haven, 1974, “Fractional Calculus and its Applications” (Ed. Ross, B.), Lecture Notes in Mathematics # 457, Springer-Verlag, Berlin, New York, pp. 80-89.
- Noble, B. (1963) Some dual series equations involving Jacobi polynomials, Proc. Cambridge Philos. Soc. 59, 363-371.
- Sneddon, I. N. (1975) The use in mathematical physics of Erdelyi-Kober operators and of some of their generalizations, In the Proceedings of International Conference held at the University of New Haven, 1974, “Fractional Calculus and its Applications” (Ed. Ross, B.), Lecture Notes in Mathematics # 457, Springer-Verlag, Berlin, New York, pp. 37-99.
- Sneddon, I. N. and Srivastava, R. P. (1964) Dual series relations I : Dual series involving Fourier - Bessel series, Proc. Royal Soc. Edinburgh Sec. A., 66, 161- 172.
- Srivastava, H. M. (1972) A pair of dual series equations involving generalized Bateman k - function, Koninkl. Nederl. Akad. Wetensch. Proc. Ser. A 75 (1) = Indag. Math. 34 (1) , 53-61.
- Srivastava, K. N. (1966) On dual series relations involving generalized Bateman k - function. Proc. Amer. Math. Soc. 17, 796-802.
- Samko, S. G., Kilbas, A. A. and Marichev, O. I. (1993) Fractional integrals and derivatives, Theory and Applications, Gordon and Breach Publishers, Switzerland, Australia, India..
- Ngoc, Nguyen Van (1982) Some results on the dual series equations, Acta Mathematica Vientamica 7 (1), 107-116.
- Zemanian, A. H. (1968) Generalized Integral Transformations, Interscience Publishers, New York, London, Sydney.
- Impact Factor and Mathematics : a Debate
Abstract Views :385 |
PDF Views:145
Authors
Affiliations
1 Department of Mathematics, Faculty of Science, JNV Univerity, Jodhpur- 342 005, IN
1 Department of Mathematics, Faculty of Science, JNV Univerity, Jodhpur- 342 005, IN
Source
Indian Journal of Science and Technology, Vol 6, No 1 (2013), Pagination: 3957-3959Abstract
No AbstractKeywords
Impact FactorFull Text
References
- Krantz, S. G. How to write your first paper, NOTICES, Amer. Math. Soc. 54 (11) (2007), 1507-1511.
- Milman, Vitali. Impact factor and how it relates to quality of journals, NOTICES, Amer. Math. Soc. 53 (3) (2006), 351-352.
- Mustaq, Qaiser. The misuse of the impact factor, NOTICES, Amer. Math. Soc. 54 (7) (2007), 821.
- Seglen, Per O., Judging Journals : How One Measures Impact, http://www.ams.org/ewing/Documents/Judgingjournals.pdf.