On Integral Operator Defined by Convolution Involving Hybergeometric Functions by K. Al-Shaqsi, M. Darus

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NE transform of pathway fractional integrals involving $ S $-function by Shristi Mishra, Harish Nagar, Naveen Mani, Rahul Shukla

Subjects: “…$ s $-function…”
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Functional and Deterministic Tuning of Hybrid Integrated Active Filters by G. S. Moschytz

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On the growth of series in system of functions and Laplace-Stieltjes integrals by M.M. Sheremeta

“…It is proved that if $a_n\ge 0$ for all $n\ge n_0$, $\ln \lambda_n=o\big(\beta^{-1}\big(c\alpha(\frac{1}{\ln \lambda_n}\ln \frac{1}{a_n})\big)\big)$ for each $c\in (0, +\infty)$ and $\ln n=O(\Gamma_f(\lambda_n))$ as $n\to\infty$ then $\displaystyle\varlimsup\limits_{r\to+\infty}\frac{\alpha(\ln M_A(r))}{\beta(\ln r)}=\varlimsup\limits_{r\to+\infty}\frac{\alpha(\ln M_f(r))}{\beta(\ln r)},$ where $M_f(r)=\max\{|f(z)|\colon |z|=r\}$, $\Gamma_f(r):=\frac{d\ln M_f(r)}{d\ln r}$ and positive continuous on $(x_0, +\infty)$ functions $\alpha$ and $\beta$ are such that $\beta((1+o(1))x)=(1+o(1))\beta(x)$, $\alpha(c x)=(1+o(1))\alpha(x)$ and $\frac{d\beta^{-1}(c\alpha(x))}{d\ln x}=O(1)$ as $x\to+\infty$ for each $c\in(0, +\infty)$.\ A similar result is obtained for the Laplace-Stieltjes type integral $I(r) = \int\limits_{0}^{\infty}a(x)f(rx) dF(x)$.…”
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On Inequalities for q-h-Integrals via Convex Functions by Yonghong Liu, Afis Saliu, Ferdous M. O. Tawfiq, Matloob Anwar, Ghulam Farid, Waseela Bibi

“…This article aims to investigate unified versions of the well-known Hermite–Hadamard inequality by considering q-h-integrals and properties of convex functions. Currently published results for q-integrals can be deduced from inequalities of this paper. …”
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Qualitative Theory of Functional Differential and Integral Equations 2016 by Cemil Tunç, Bingwen Liu, Luís R. Sanchez, Mohsen Alimohammady, Octavian G. Mustafa, Samir H. Saker

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Integrating multiple “omics” analysis for plant metabolites and their functions by ZHOU Guoyan, HU Wangxiong, XU Jianhong, XUE Qingzhong

“…With the accumulation of high-throughput sequence information, emerged newly metabolomics database can be used not only to store, manage and analyze metabolomics data, but also to provide the chemical structure, physical and chemical properties and pharmacological properties, spectroscopy, experimental process, as well as to interpret the biological function of the metabolites. This paper described briefly several rather special metabolomics database resources (such as KEGG, METLIN, TOMATOMA, ReSpect, ECOMICS, PRIMe). …”
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Predictors of functional communication in people with aphasia after stroke by Adriana Fernandes, Helena Fraga-Maia, Iara Maso, Isabela Guimarães Matos, Lene Gomes, Matheus Matos, Andressa Santana, Jamary Oliveira-Filho, Pedro Antônio de Jesus, Elen Beatriz Pinto

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Certain Integral Transform and Fractional Integral Formulas for the Generalized Gauss Hypergeometric Functions by Junesang Choi, Praveen Agarwal

“…A remarkably large number of integral transforms and fractional integral formulas involving various special functions have been investigated by many authors. …”
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Euler Operational Matrix of Integration and Collocation Method for Solving Functional Integral Equations by Sohrab Bazm, Fatemeh Pahlevani

Subjects: “…functional integral equations…”
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A Double Integral Containing the Fresnel Integral Function Sx: Derivation and Computation by Robert Reynolds, Allan Stauffer

“…A two-dimensional integral containing Sx is derived. Sx is the Fresnel integral function, and the double integral is taken over the range 0<x<∞ and  0<y<∞. …”
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Integration of Security Service Functions Into Network-Level Access Control by Leonard Bradatsch, Frank Kargl

“…In this article, which focuses on security-related service functions, we present a more fine-grained determination process by integrating security service functions into attribute-based access control and utilizing contextual information attributes, such as access time. …”
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The Integration of Management Accounting Techniques in the Functional-based Costing System by A. U. Panakhov, E. G. Babkova

“…With the methodological development of cost accounting, there is a transition from the spatial plane of cost grouping, which has traditionally been considered as a “functional” one, to the process evaluation. At the same time, the development of the concept of Functional-Based Costing is making a transition today from grouping costs based on structural units of an enterprise to an integral system of cost accounting methods, based on generalized functional areas of economic processes (such as automation, HR, transport logistics, R&amp;D, compliance etc.). …”
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Enhancing children’s numeracy and executive functions via their explicit integration by Gaia Scerif, Jelena Sučević, Hannah Andrews, Emma Blakey, Sylvia U. Gattas, Amy Godfrey, Zachary Hawes, Steven J. Howard, Liberty Kent, Rebecca Merkley, Rosemary O’Connor, Fionnuala O’Reilly, Victoria Simms

“…Our findings emphasise the need to consider EFs in their integration with co-developing functions, and in their educational and socio-economic context.…”
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eidos: A modular approach to external function integration in LLMs by José F. Aldana-Martín, Antonio Benítez-Hidalgo, José F. Aldana-Montes

“…In this paper, we present eidos, a software tool designed to streamline the integration of functions within LLMs. eidos acts as an intermediary, enabling both the seamless execution and validation of functions by LLMs. …”
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GaN System-on-Chip: Pushing the Limits of Integration and Functionality by Reza Nikandish

“…In this article, we present a futuristic perspective on GaN integrated circuit technology, discuss technical challenges that hinder leveraging the capabilities of the GaN process, and provide recommendations to push its limits of integration and functionality. …”
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Functional segregation and dynamic integration of the corticotectal descending signal in rat by Hikaru Sugino, Sho Tanno, Tatsumi Yoshida, Yoshikazu Isomura, Riichiro Hira

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Estimates of Upper Bound for a Function Associated with Riemann-Liouville Fractional Integral via h-Convex Functions by Shan-He Wu, Muhammad Uzair Awan

“…A new identity involving Riemann-Liouville fractional integral is proposed. The result is then used to obtain some estimates of upper bound for a function associated with Riemann-Liouville fractional integral via h-convex functions. …”
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Definite Integrals Involving Combinations of Powers and Logarithmic Functions of Complicated Arguments Expressed in Terms of the Hurwitz Zeta Function by Robert Reynolds, Allan Stauffer

“…In this manuscript, the authors derive closed formula for definite integrals of combinations of powers and logarithmic functions of complicated arguments and express these integrals in terms of the Hurwitz zeta functions. …”
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Some results on the q-Beta function by Yildirim Emrah, Ege Inci

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