{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,4,20]],"date-time":"2025-04-20T21:10:04Z","timestamp":1745183404541,"version":"3.40.4"},"reference-count":13,"publisher":"Wiley","license":[{"start":{"date-parts":[[2012,11,13]],"date-time":"2012-11-13T00:00:00Z","timestamp":1352764800000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"funder":[{"DOI":"10.13039\/501100001501","name":"University Grants Commission","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100001501","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Advances in Numerical Analysis"],"published-print":{"date-parts":[[2012,11,13]]},"abstract":"<jats:p>The recent theory and applications of difference operator<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M1\"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant=\"normal\">\u0394<\/mml:mi><\/mml:mrow><mml:mrow><mml:mi>L<\/mml:mi><\/mml:mrow><\/mml:msub><\/mml:mrow><\/mml:math>introduced in (M. Maria Susai Manuel et al., 2012) are enriched and extended with a useful tool<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M2\"><mml:msubsup><mml:mrow><mml:mi mathvariant=\"normal\">\u0394<\/mml:mi><\/mml:mrow><mml:mrow><mml:mi>\u2113<\/mml:mi><\/mml:mrow><mml:mrow><mml:mo>-<\/mml:mo><mml:mi>m<\/mml:mi><\/mml:mrow><\/mml:msubsup><mml:mo stretchy=\"false\">[<\/mml:mo><mml:msubsup><mml:mrow><mml:mi>k<\/mml:mi><\/mml:mrow><mml:mrow><mml:mi>\u2113<\/mml:mi><\/mml:mrow><mml:mrow><mml:mo stretchy=\"false\">(<\/mml:mo><mml:mi>n<\/mml:mi><mml:mo stretchy=\"false\">)<\/mml:mo><\/mml:mrow><\/mml:msubsup><mml:msup><mml:mrow><mml:mi>e<\/mml:mi><\/mml:mrow><mml:mrow><mml:mo>-<\/mml:mo><mml:mi>k<\/mml:mi><\/mml:mrow><\/mml:msup><mml:mo stretchy=\"false\">]<\/mml:mo><mml:mo stretchy=\"false\">|<\/mml:mo><mml:msubsup><mml:mrow><mml:mo stretchy=\"false\">|<\/mml:mo><\/mml:mrow><mml:mrow><mml:mo stretchy=\"false\">(<\/mml:mo><mml:mi>m<\/mml:mi><mml:mo>-<\/mml:mo><mml:mn>1<\/mml:mn><mml:mo stretchy=\"false\">)<\/mml:mo><mml:mi>\u2113<\/mml:mi><mml:mo>+<\/mml:mo><mml:mi>j<\/mml:mi><\/mml:mrow><mml:mrow><mml:mi>k<\/mml:mi><\/mml:mrow><\/mml:msubsup><\/mml:math>for finding the values of various series of discrete gamma functions in number theory. 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