Matches in SemOpenAlex for { <https://semopenalex.org/work/W160544842> ?p ?o ?g. }
Showing items 1 to 82 of
82
with 100 items per page.
- W160544842 endingPage "426" @default.
- W160544842 startingPage "359" @default.
- W160544842 abstract "We begin with the vector notation for the most important functions and q-Taylor formulas for power series and functions of inverse q-shifted factorials. We continue with a historical introduction to the rest of this long and interesting chapter and to the next chapter as well. We will also define q-Appell functions together with the normal form. Then follows the two definitions of q-Kampé de Fériet functions due to Karlsson and Srivastava. The q-analogue of Appell and Kampé de Fériet’s transformation formulas require the Watson q-shifted factorial in the definition. We continue with Carlitz’ Saalschützian formulas, Andrews’s formal transformations and Carlson’s transformations.We show that the Jacksonian formula for the q-integral of the q-Appell function Φ1 is equivalent to the first of Andrews’s formal transformations. We give several examples of multiple reduction formulas with general terms. These are used to find many q-analogues of reduction formulas for Appell and Lauricella functions and other similar functions. A relation for Γ q functions with negative integer argument from chapter eight as well as the Bayley-Daum formula will be used in the proofs. Many summation formulas appear as doublets, which is a legacy of the two q-Vandermonde summation formulas. We introduce the inverse pair of symbolic operators ▽ q (h) and △ q (h) due to Jackson. Then we derive expansions for q-Appell and q-Kampé de Fériet functions. Each of these expansions is equivalent to a combinatorial identity, which resembles a well-known q-summation formula." @default.
- W160544842 created "2016-06-24" @default.
- W160544842 creator A5042509034 @default.
- W160544842 date "2012-01-01" @default.
- W160544842 modified "2023-10-16" @default.
- W160544842 title "q-functions of several variables" @default.
- W160544842 cites W1598435728 @default.
- W160544842 cites W1963649814 @default.
- W160544842 cites W1963692503 @default.
- W160544842 cites W1970490515 @default.
- W160544842 cites W1974475032 @default.
- W160544842 cites W1974559149 @default.
- W160544842 cites W1979531736 @default.
- W160544842 cites W1979956192 @default.
- W160544842 cites W1991802904 @default.
- W160544842 cites W1996020706 @default.
- W160544842 cites W2002461222 @default.
- W160544842 cites W2003681088 @default.
- W160544842 cites W2006295832 @default.
- W160544842 cites W2008052995 @default.
- W160544842 cites W2017085295 @default.
- W160544842 cites W2018655693 @default.
- W160544842 cites W2021269138 @default.
- W160544842 cites W2028188876 @default.
- W160544842 cites W2029147992 @default.
- W160544842 cites W2030868238 @default.
- W160544842 cites W2049997072 @default.
- W160544842 cites W2050787879 @default.
- W160544842 cites W2061736401 @default.
- W160544842 cites W2070167942 @default.
- W160544842 cites W2073320508 @default.
- W160544842 cites W2078694909 @default.
- W160544842 cites W2081933270 @default.
- W160544842 cites W2082393967 @default.
- W160544842 cites W2133773594 @default.
- W160544842 cites W2140915219 @default.
- W160544842 cites W2161521764 @default.
- W160544842 cites W2291884406 @default.
- W160544842 cites W2316155810 @default.
- W160544842 cites W2316803726 @default.
- W160544842 cites W2323682086 @default.
- W160544842 cites W2952047482 @default.
- W160544842 cites W3102514836 @default.
- W160544842 cites W4237486156 @default.
- W160544842 cites W4243264049 @default.
- W160544842 cites W4253934306 @default.
- W160544842 doi "https://doi.org/10.1007/978-3-0348-0431-8_10" @default.
- W160544842 hasPublicationYear "2012" @default.
- W160544842 type Work @default.
- W160544842 sameAs 160544842 @default.
- W160544842 citedByCount "0" @default.
- W160544842 crossrefType "book-chapter" @default.
- W160544842 hasAuthorship W160544842A5042509034 @default.
- W160544842 hasConcept C136119220 @default.
- W160544842 hasConcept C202444582 @default.
- W160544842 hasConcept C207467116 @default.
- W160544842 hasConcept C2524010 @default.
- W160544842 hasConcept C33923547 @default.
- W160544842 hasConceptScore W160544842C136119220 @default.
- W160544842 hasConceptScore W160544842C202444582 @default.
- W160544842 hasConceptScore W160544842C207467116 @default.
- W160544842 hasConceptScore W160544842C2524010 @default.
- W160544842 hasConceptScore W160544842C33923547 @default.
- W160544842 hasLocation W1605448421 @default.
- W160544842 hasOpenAccess W160544842 @default.
- W160544842 hasPrimaryLocation W1605448421 @default.
- W160544842 hasRelatedWork W1985218657 @default.
- W160544842 hasRelatedWork W2004705539 @default.
- W160544842 hasRelatedWork W2023084877 @default.
- W160544842 hasRelatedWork W2096753949 @default.
- W160544842 hasRelatedWork W2150950532 @default.
- W160544842 hasRelatedWork W2298446516 @default.
- W160544842 hasRelatedWork W2356364244 @default.
- W160544842 hasRelatedWork W3106133691 @default.
- W160544842 hasRelatedWork W4242766352 @default.
- W160544842 hasRelatedWork W4249580765 @default.
- W160544842 isParatext "false" @default.
- W160544842 isRetracted "false" @default.
- W160544842 magId "160544842" @default.
- W160544842 workType "book-chapter" @default.