The general chain transform and self-reciprocal functions
A theory of a generalized form of the chain transforms of order n is developed, and various properties of these are established including the Parseval relation. Most known cases of the standard theory are derived as special cases. Also a theory of self-reciprocal functions is given, based on these g...
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| Format: | Article |
| Language: | English |
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Wiley
1985-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171285000059 |
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| _version_ | 1832549006817886208 |
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| author | Cyril Nasim |
| author_facet | Cyril Nasim |
| author_sort | Cyril Nasim |
| collection | DOAJ |
| description | A theory of a generalized form of the chain transforms of order n is developed, and various properties of these are established including the Parseval relation. Most known cases of the standard theory are derived as special cases. Also a theory of self-reciprocal functions is given, based on these general chain transforms; and relations among various classes of self-reciprocal functions are established. |
| format | Article |
| id | doaj-art-156b6df303b641468955691125f5e0fd |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1985-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-156b6df303b641468955691125f5e0fd2025-02-03T06:12:21ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251985-01-0181576810.1155/S0161171285000059The general chain transform and self-reciprocal functionsCyril Nasim0Department of Mathematics and Statistics, The University of Calgary, Calgary T2N IN4, Alberta, CanadaA theory of a generalized form of the chain transforms of order n is developed, and various properties of these are established including the Parseval relation. Most known cases of the standard theory are derived as special cases. Also a theory of self-reciprocal functions is given, based on these general chain transforms; and relations among various classes of self-reciprocal functions are established.http://dx.doi.org/10.1155/S0161171285000059fourier transformchain trasformsMellin transformsParseval theoremkernel functionsL2-spaceself-reciprocal functionsgamma functionRiemann-Zeta functionBessel functionsWhittaker functions. |
| spellingShingle | Cyril Nasim The general chain transform and self-reciprocal functions International Journal of Mathematics and Mathematical Sciences fourier transform chain trasforms Mellin transforms Parseval theorem kernel functions L2-space self-reciprocal functions gamma function Riemann-Zeta function Bessel functions Whittaker functions. |
| title | The general chain transform and self-reciprocal functions |
| title_full | The general chain transform and self-reciprocal functions |
| title_fullStr | The general chain transform and self-reciprocal functions |
| title_full_unstemmed | The general chain transform and self-reciprocal functions |
| title_short | The general chain transform and self-reciprocal functions |
| title_sort | general chain transform and self reciprocal functions |
| topic | fourier transform chain trasforms Mellin transforms Parseval theorem kernel functions L2-space self-reciprocal functions gamma function Riemann-Zeta function Bessel functions Whittaker functions. |
| url | http://dx.doi.org/10.1155/S0161171285000059 |
| work_keys_str_mv | AT cyrilnasim thegeneralchaintransformandselfreciprocalfunctions AT cyrilnasim generalchaintransformandselfreciprocalfunctions |