19 papers · ranked by Valyu relevance
Enes Ata
In this paper, modified gamma and beta functions containing generalized M-series in their kernel are defined. Also, modified Gauss and confluent hypergeometric functions are defined using the modified beta function. Then, some properties of these modified special functions are obtained. Finally, the relationships…
František Štampach, P. Šťovı́ček
Several examples of Jacobi matrices with an explicitly solvable spectral problem are worked out in detail. In all discussed cases the spectrum is discrete and coincides with the set of zeros of a special function. Moreover, the components of corresponding eigenvectors are expressible in terms of special functions as…
Ali Özyapıcı, Yusuf Gürefe, Emine Missirli
The goal of this paper is to extend the classical and multiplicative fractional derivatives. For this purpose, it is introduced the new extended modified Bessel function and also given an important relation between this new function Iυ(q; x) and the confluent hypergeometric function 1F1(α, β, x). Besides, it is used to…
David Morales‐Jiménez, F. Javier López‐Martínez, Eduardo Martos‐Naya, José F. Paris + 1 more
'José F. Paris' 'Angel Lozano'] This paper presents a new connection between the generalized Marcum-Q function and the confluent hypergeometric function of two variables, Φ3. This result is then applied to the closed-form characterization of the bivariate Nakagami-m distribution and of the distribution of the minimum…
Yilmaz Simsek, Daeyeoul Kim
The aim of this is to give generating functions for new families of special numbers and polynomials of higher order. By using these generating functions and their functional equations, we derive identities and relations for these numbers and polynomials. Relations between these new families of special numbers and…
Peter Sestoft
Here we present an implementation of sheet-defined functions in the style Nunez [12] and Peyton- ˜ Jones et al. [13] that (1) uses only standard spreadsheet concepts and notations, no external languages, so it should be understandable to competent spreadsheet users, and (2) is very efficient, so that userdefined…
Susanne M. Krug, Michael Fromm
For a long time, the tight junction (TJ) was known to form and regulate the paracellular barrier between epithelia and endothelial cell sheets. Starting shortly after the discovery of the proteins forming the TJ-mainly, the two families of claudins and TAMPs-several other functions have been discovered, a striking one…
Johannes Röhl, Ludger Jansen
Background The concept of function is central to both biology and technology, but neither in philosophy nor in formal ontology is there a generally accepted theory of functions. In particular, there is no consensus how to include functions into a top-level ontology or whether to include them at all. Methods We first…
Michal Vostrý, Barbora Lanková, Ilona Pešatová, Lenka Müllerová + 2 more
'Helena Vomáčková' 'Paul B. Tchounwou'] In this study we focus on the application of standardized tests aimed at evaluating the functional degree of independence in children (client 1, WeeFIM test; and client 2, FIM test) in special education diagnostics. The target group consisted of two clients with a diagnosis of…
Heather C. Lench, Kathleen E. Darbor, Logan A. Berg
This Editorial reviews the challenges and advantages posed by a functional perspective on the relationships among emotion, behavior, and cognition. We identify the core themes among the articles published as part of this Special Issue. The articles generally address two important questions: (1) are emotions functional…
Pushpa N. Rathie, Arjun K. Rathie, Luan Carlos de Sena Monteiro Ozelim
'Luan Carlos de Sena Monteiro Ozelim'] In general, while obtaining the probability density function of sums and products of shifted random variables, ordinary analytical methods such as Fourier and Mellin transforms tend to provide integrals which cannot be expressed in terms of ordinary Meijer G and H functions. This…
Authors not listed
Curried functions provide a systematic way of transforming multi-argument functions into nested singleargument functions. This transformation allows partial application and supports many central principles of functional programming. Their extension, called curried 𝑘-ary functions, naturally generalizes the familiar…
Benjamin Litterer, Sayane Shome, Kejue Jia, Robert L. Jernigan
The reduced cost of sequencing is leading to an explosive growth in the number of available sequences across diverse genomes, and for individual patients. Inferring meaningful functions of individual genes/proteins is lagging, which hinders the deeper understanding of biological function and evolution. Traditionally…
Keith D Farnsworth, Larissa Albantakis, Tancredi Caruso
The concept of function arises at all levels of biological study and is often loosely and variously defined, especially within ecology. This has led to ambiguity, obscuring the common structure that unites levels of biological organisation, from molecules to ecosystems. Here we build on already successful ideas from…
Maxat Kulmanov, Robert Hoehndorf
Protein function prediction is one of the major tasks of bioinformatics that can help in wide range of biological problems such as understanding disease mechanisms or finding drug targets. Many methods are available for predicting protein functions from sequence based features, protein–protein interaction networks…
Authors not listed
We present a novel, flexible framework for electronic structure interfaces designed for nonadiabatic dynamics simulations, implemented in Python 3 using concepts of object-oriented programming. This framework streamlines the development of new interfaces by providing a reusable and extendable code base. It supports the…
Jarrett E. K. Byrnes, Fabian Roger, Robert Bagchi
In ecology, multifunctionality measures the simultaneous provision of multiple ecosystem functions. If species diversity describes the variety of species that together build the ecosystem, multifunctionality attempts to describe the variety of functions these species perform. A range of methods have been proposed to…
Michael Hutcheon, Andrew Teale
Algorithms are presented for performing a topological analysis of an arbitrary function, evaluated on an arbitrary grid of points. These algorithms work strictly by post-processing the data and require no additional function evaluations. This is achieved by connecting the grid points with a neighbourhood graph…
Krishna Anujan, Sebastian A. Heilpern, Case M. Prager, Shahid Naeem
Higher levels of diversity within trophic levels are necessary to sustain multiple ecosystem functions, but this diversity-multifunctionality relationship peaks at intermediate percent-function thresholds. The presence of multiple trophic levels, or trophic complexity, affects ecosystem multifunctionality but its…