Results 71 to 80 of about 16,055 (246)

Another Grüss Type Inequality for Sequences of Vectors in Normed Linear Spaces and Applications [PDF]

open access: yes, 2002
A discrete inequality of Grüss type in normed linear sapces and applications for the Fourier transform, Mellin transform of sequences, for polynomials with coefficients in normed spaces and for vector valued Lipschitzian mappings, are ...
Dragomir, Sever S
core  

Patterns in the chaos: Scale and the spatiotemporal dynamics of coral reef fish assemblages on the Great Barrier Reef

open access: yesEcosphere, Volume 16, Issue 5, May 2025.
Abstract In the Anthropocene, understanding and managing ecological communities requires the characterization of natural spatiotemporal ecosystem dynamics. Complex ecosystems may appear chaotic and unstructured, making long‐term monitoring programs with hierarchical sampling designs ideal for investigating ecological patterns at multiple scales.
Daniela M. Ceccarelli   +5 more
wiley   +1 more source

Mellin Transform of Weierstrass Zeta Function and Integral Representations of Some Lambert Series

open access: yesMathematics
We consider a series which combines two Dirichlet series constructed from the coefficients of a Laurent series and derive a general integral representation of the series as a Mellin transform.
Namhoon Kim
doaj   +1 more source

FRACTIONAL CALCULUS AND LAMBERT FUNCTION I. LIOUVILLE–WEYL FRACTIONAL INTEGRAL

open access: yesActa Polytechnica, 2014
The interconnection between the Liouville–Weyl fractional integral and the Lambert function is studied. The class of modified Abel equations of the first kind is solved.
Vladimír Vojta
doaj   +1 more source

Asymptotics of the contour of the stationary phase and efficient evaluation of the Mellin-Barnes integral for the F_3 structure function

open access: yes, 2018
A new approximation is proposed for the contour of the stationary phase of the Mellin--Barnes integrals in the case of its finite asymptotic behavior as ${\rm Re} z\to -\infty$.
Lashkevich, V. I.   +2 more
core   +1 more source

A Dark Future of Endangered Mountain Species, Parnassius bremeri, Under Climate Change

open access: yesEcology and Evolution, Volume 15, Issue 4, April 2025.
We assessed the climate change effects on the distribution of Parnassius bremeri, a critically endangered butterfly species in the Republic of Korea, in relation to food availability (Sedum kamtschaticum and Sedum aizoon), land‐use change, and dispersal limitations. Our findings indicate that climate change is a significant driver of habitat loss for P.
Kyung Ah Koo, Seon Uk Park
wiley   +1 more source

The Influence of Symbiont Identity on the Proteomic and Metabolomic Responses of the Model Cnidarian Aiptasia to Thermal Stress

open access: yesEnvironmental Microbiology, Volume 27, Issue 3, March 2025.
We examined the effects of symbiont identity and heat stress on the host metabolome and proteome in the cnidarian–dinoflagellate symbiosis. Integrated metabolome and proteome analyses characterised host thermal responses between symbioses, with clear evidence of enhanced nutritional deprivation and cellular stress in hosts harbouring heterologous ...
Bobby Lust   +8 more
wiley   +1 more source

Extended Bessel-Maitland function and its properties pertaining to integral transforms and fractional calculus

open access: yesAIMS Mathematics, 2020
The aim of this paper is to establish an (presumably new) extension of generalized Bessel-Maitland function by using the extension of extended beta function.
D. L. Suthar   +4 more
doaj   +1 more source

Moments of symmetric square L$L$‐functions on GL(3)${\rm GL}(3)$

open access: yesProceedings of the London Mathematical Society, Volume 130, Issue 3, March 2025.
Abstract We give an asymptotic formula with power saving error term for the twisted first moment of symmetric square L$L$‐functions on GL(3)${\rm GL}(3)$ in the level aspect. As applications, we obtain nonvanishing results as well as lower bounds of the expected order of magnitude for all even moments, supporting the random matrix model for a unitary ...
Valentin Blomer, Félicien Comtat
wiley   +1 more source

Asymptotics of integrodifferential models with integrable kernels II

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2003
Nonlinear singularly perturbed Volterra integrodifferential equations with weakly singular kernels are investigated using singular perturbation methods, the Mellin transform technique, and the theory of fractional integration.
Angelina M. Bijura
doaj   +1 more source

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