Truncated Hecke–Rogers type series—part II
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DOI: 10.1007/s11139-021-00407-w
Abstract: Motivated by the works on truncated theta series of Andrews–Merca and Guo–Zeng, the authors of this paper investigated some Hecke–Rogers type double series in their earlier paper. As a continuation of their study, in this… read more here.
Keywords: rogers type; type series; truncated hecke; hecke rogers ... See more keywords
Truncated Hecke-Rogers type series
Sign Up to like & getrecommendations! Published in 2020 at "Advances in Mathematics"
DOI: 10.1016/j.aim.2020.107051
Abstract: Abstract The recent work of George Andrews and Mircea Merca on the truncated version of Euler's pentagonal number theorem has opened up a new study on truncated theta series. Since then several papers on the… read more here.
Keywords: rogers type; truncated hecke; series; type series ... See more keywords
Rediscovery of the type series of the Sacred Shrew, Sorex religiosus I. Geoffroy Saint-Hilaire, 1826, with additional notes on mummified shrews of ancient Egypt (Mammalia: Soricidae).
Sign Up to like & getrecommendations! Published in 2017 at "Zootaxa"
DOI: 10.11646/zootaxa.4341.1.1
Abstract: In 1826, Isidore Geoffroy Saint-Hilaire described the Sacred Shrew, Sorex religiosus [= Crocidura religiosa] from a series of 22 embalmed individuals that comprised a portion of the Italian archeologist Joseph Passalacqua's collection of Egyptian antiquities… read more here.
Keywords: religiosus; geoffroy saint; ancient egypt; saint hilaire ... See more keywords
A taxonomic re-evaluation of five stomiiform fish species described by August Brauer (1902) with lectotype designations.
Sign Up to like & getrecommendations! Published in 2022 at "Zootaxa"
DOI: 10.11646/zootaxa.5196.1.2
Abstract: A study of the type series of Stylophthalmus paradoxus and Idiacanthus atlanticus (Stomiidae), and Cyclothone livida, C. obscura and C. pallida (Gonostomatidae), uncovered errors in the synonymy of Idiacanthus and inconsistencies regarding the number of… read more here.
Keywords: evaluation five; brauer; taxonomic evaluation; type series ... See more keywords
On Mathieu-Type Series with (p,ν)-Extended Hypergeometric Terms: Integral Representations and Upper Bounds
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DOI: 10.3390/math11071710
Abstract: Integral form expressions are obtained for the Mathieu-type series and for their associated alternating versions, the terms of which contain a (p,ν)-extended Gauss hypergeometric function. Contiguous recurrence relations are found for the Mathieu-type series with… read more here.
Keywords: mathieu type; type series; hypergeometric terms; series extended ... See more keywords
Bi-Starlike Function of Complex Order Involving Mathieu-Type Series Associated with Telephone Numbers
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DOI: 10.3390/sym15030638
Abstract: For the first time, we attempted to define two new sub-classes of bi-univalent functions in the open unit disc of the complex order involving Mathieu-type series, associated with generalized telephone numbers. The initial coefficients of… read more here.
Keywords: mathieu type; order involving; complex order; type series ... See more keywords
Genetic delimitation of Pristimantisorestes (Lynch, 1979) and P.saturninoi Brito et al., 2017 and description of two new terrestrial frogs from the Pristimantisorestes species group (Anura, Strabomantidae)
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DOI: 10.3897/zookeys.864.35102
Abstract: Abstract In the genus Pristimantis, species are often combined into taxonomic units called species groups. The taxonomy of these groups is frequently inaccurate due to the absence of genetic data from type series and repeated… read more here.
Keywords: species group; new species; group; type series ... See more keywords
New inequalities for some generalized Mathieu type series and the Riemann zeta function
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Mathematical Inequalities"
DOI: 10.7153/jmi-2018-12-13
Abstract: Our aim in this paper is to derive several new inequalities for the Mathieu type series and the Riemann zeta function. In particular, we prove Turán type inequalities and some monotonicity and log-convexity results for… read more here.
Keywords: zeta function; series riemann; type series; riemann zeta ... See more keywords