WITHDRAWN: Some new integral and series representations of Mathieu type series and Omega function

2008 ◽  
Author(s):  
Živorad Tomovski
Keyword(s):  
Type Series ◽  
Series Representations

scholarly journals On some properties of the Lüroth-type alternating series representations for real numbers

2001 ◽  
Vol 28 (6) ◽  
pp. 367-373 ◽  
Author(s):  
C. Ganatsiou
Keyword(s):  
Limit Theorems ◽  
Asymptotic Density ◽  
Real Numbers ◽  
Type Series ◽  
Distribution Of The Maximum ◽  
Series Representations

We investigate some properties connected with the alternating Lüroth-type series representations for real numbers, in terms of the integer digits involved. In particular, we establish the analogous concept of the asymptotic density and the distribution of the maximum of the firstndenominators, by applying appropriate limit theorems.

scholarly journals New integral and series representations of the generalized Mathieu series

2008 ◽  
Vol 2 (2) ◽  
pp. 205-212 ◽  
Author(s):  
Zivorad Tomovski
Keyword(s):  
Integral Representations ◽  
Type Series ◽  
Fourier Sine ◽  
Series Representations ◽  
Mathieu Series

By using some recently investigated fourier sine integral representations for the Mathieu type series (see [4]), new integral and series representations are derived here for certain general families of Mathieu type series.

Generalized Kantorovich sampling type series on hypergroups

2018 ◽  
Vol 48 (1) ◽  
pp. 117-127
Author(s):  
Seyyed Mohammad Tabatabaie ◽  
A. Sathish Kumar ◽  
Mahmood Pourgholamhossein
Keyword(s):  
Type Series

First Records of Bufo luchunnicus (Yang et Rao, 2008) and Amolops wenshanensis Yuan, Jin, Li, Stuart et Wu, 2018 (Anura: Bufonidae, Ranidae) from Vietnam

2020 ◽  
Vol 27 (2) ◽  
pp. 81-86
Author(s):  
Cuong The Pham ◽  
Minh Duc Le ◽  
Chung Van Hoang ◽  
Anh Van Pham ◽  
Thomas Ziegler ◽  
...  
Keyword(s):  
Natural History ◽  
Genetic Divergence ◽  
Morphological Data ◽  
Type Series ◽  
Lao Cai ◽  
First Time ◽  
Nd2 Gene ◽  
Quang Ninh

We record two species of amphibians for the first time from Vietnam: Bufo luchunnicus from Lao Cai and Son La provinces and Amolops wenshanensis from Quang Ninh Province. Morphologically, the Vietnamese representatives of B. luchunnicus resemble the type series from China. The specimen of A. wenshanensis from Vietnam slightly differs from the type series from China by having a smaller size (SVL 33.2 mm vs. 35.7 – 39.9 mm in males) and the presence of distinct transverse bands on the dorsal surfaces of limbs. Genetic divergence between the sequence of the Vietnamese specimen and those of A. wenshanensis from China available from GenBank is 1.2 – 1.6% (ND2 gene). In addition, morphological data and natural history notes of aforementioned species are provided from Vietnam.

A general inverse matrix series relation and associated polynomials – II

2021 ◽  
Vol 71 (2) ◽  
pp. 301-316
Author(s):  
Reshma Sanjhira
Keyword(s):  
Matrix Polynomial ◽  
Combinatorial Identities ◽  
Inverse Matrix ◽  
Matrix Polynomials ◽  
Special Cases ◽  
Series Representations ◽  
The Matrix ◽  
Associated Polynomials ◽  
Matrix Pair ◽  
Matrix Series

Abstract We propose a matrix analogue of a general inverse series relation with an objective to introduce the generalized Humbert matrix polynomial, Wilson matrix polynomial, and the Rach matrix polynomial together with their inverse series representations. The matrix polynomials of Kiney, Pincherle, Gegenbauer, Hahn, Meixner-Pollaczek etc. occur as the special cases. It is also shown that the general inverse matrix pair provides the extension to several inverse pairs due to John Riordan [An Introduction to Combinatorial Identities, Wiley, 1968].

scholarly journals A dominated convergence theorem for Eisenstein series

2021 ◽  
Author(s):  
Johann Franke
Keyword(s):  
Fourier Series ◽  
Dirichlet Series ◽  
Eisenstein Series ◽  
Modular Forms ◽  
Convergence Theorem ◽  
Rational Functions ◽  
New Approach ◽  
Series Representations ◽  
Dominated Convergence ◽  
Generalized Dirichlet

AbstractBased on the new approach to modular forms presented in [6] that uses rational functions, we prove a dominated convergence theorem for certain modular forms in the Eisenstein space. It states that certain rearrangements of the Fourier series will converge very fast near the cusp $$\tau = 0$$ τ = 0 . As an application, we consider L-functions associated to products of Eisenstein series and present natural generalized Dirichlet series representations that converge in an expanded half plane.

Amendments and updates to F.C. Fraser’s key to Indian Lestes spp. (Odonata: Lestidae) to resolve confusion of L. patricia Fraser, 1924 and L. nigriceps Fraser, 1924, with notes on L. nodalis Selys 1891 and L. garoensis Lahiri, 1987

Zootaxa ◽  
2019 ◽  
Vol 4671 (2) ◽  
pp. 297-300 ◽  
Author(s):  
OLEG E. KOSTERIN
Keyword(s):  
British India ◽  
Type Series ◽  
Verbal Descriptions

Last year I reported the rediscovery in Cambodia of Lestes nigriceps Fraser, 1924, described from Pusa, India (Fraser 1924a) but never reported since that time from India (Kosterin 2018). In my paper I presumed non-conspecificity of the male and females of the type series and made critical comments on Fraser’s appendage drawing (Fraser 1924a: plate IX: 6) and verbal descriptions (Fraser 1924a; 1933) of this species but did not consider his key for Lestes Leach, 1815 in the 1st volume of “Fauna of British India including Ceylon and Burma. Odonata” (Fraser 1933). Later I found a considerable corruption in this key, which could lead to misidentifications. (It is noteworthy to stress that Fraser explicitly provided keys for males only). 

Review of the genus Cnemaspis Strauch, 1887 (Sauria: Gekkonidae) in Sri Lanka with the description of five new species

Zootaxa ◽  
2007 ◽  
Vol 1490 (1) ◽  
pp. 1-63 ◽  
Author(s):  
L. J.MENDIS WICKRAMASINGHE ◽  
D. A.I. MUNINDRADASA
Keyword(s):  
New Species ◽  
Sri Lanka ◽  
Morphometric Analysis ◽  
Mountain Region ◽  
Geographical Isolation ◽  
Morphological Comparison ◽  
Type Series ◽  
Dry Zone ◽  
High Degree ◽  
Wet Zone

Five new species of geckos are described from Sri Lanka by morphological comparison and morphometric analysis leading to review the genus Cnemaspis in the country. The type series of these species were identified from following localities: C. alwisi and C. kumarasinghei from the intermediate zone, C. retigalensis from the dry zone, C. molligodai from the lowland wet zone and C. samanalensis from the mountain region of the wet zone in the country. The high degree of endemicity (90%) shown by Cnemaspis in Sri Lanka could be attributed to geographical isolation. In addition, the taxonomic issue of C. jerdonii scalpensis is discussed and the species C. scalpensis is errected.

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