Results 1 to 10 of about 527,794 (256)
Extende beta, hypergeometric and confluent hypergeometric functions [PDF]
arXiv, 2019 15 ...
Khan, N. U., Usman, T., Aman, M.
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A Connection Formula for the q-Confluent Hypergeometric Function [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2013 We show a connection formula for the $q$-confluent hypergeometric functions ${}_2 _1(a,b;0;q,x)$. Combining our connection formula with Zhang's connection formula for ${}_2 _0(a,b;-;q,x)$, we obtain the connection formula for the $q$-confluent hypergeometric equation in the matrix form.
Takeshi Morita
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Plant Biotechnology Journal, EarlyView.Summary With changes in complex environments, plants, especially their leaves, are constantly adapting. Aquatic plants face more diverse and harsh survival situations. However, their adaptive mechanisms are largely unknown. Euryale ferox is a floating leaf aquatic plant characterized by large and rapidly expanding leaves that serve as a model for ...
Ailian Liu +12 more
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Plant, Cell &Environment, EarlyView.ABSTRACT Salt‐stress priming enhances the tolerance of plants against subsequent exposure to a similar stress. Priming‐induced transcriptomic reprogramming is mediated by multiple epigenetic mechanisms, the best known of which is histone modifications. However, not much is known about other epigenetic responses.
Wai‐Shing Yung +7 more
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Computation and analysis [PDF]
Direct summation of series involving higher transcendental functions, integrals of confluent hypergeometric functions, and computer methods for approximating continuous ...
core +1 more source
The Potential Role of Egg‐Derived Xeno‐miRs in Chemotherapy Response: An In Silico Approach
Food Science &Nutrition, Volume 13, Issue 6, June 2025.Dietary microRNAs (Xeno‐miRs), especially those homologous to human miRNAs found in animal‐based foods, may influence chemotherapy responses across cancer types. This study highlights the underexplored potential of human homolog egg‐derived Xeno‐miRs as biomarkers and therapeutic targets.
Berkcan Doğan
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Elicitor Specific Mechanisms of Defence Priming in Oak Seedlings Against Powdery Mildew
Plant, Cell &Environment, Volume 48, Issue 6, Page 4455-4474, June 2025.ABSTRACT Defence priming sensitises plant defences to enable a faster and/or stronger response to subsequent stress. Various chemicals can trigger priming; however, the response remains unexplored in oak. Here, we characterise salicylic acid (SA)‐, jasmonic acid (JA)‐, and β‐aminobutyric acid (BABA)‐induced priming of oak seedlings against the causal ...
Rosa Sanchez‐Lucas +5 more
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INTEGRALS OF CONFLUENT HYPERGEOMETRIC FUNCTIONS
Tamkang Journal of Mathematics, 1990 The moments of the weight functions $w(x)=e^{-x}x^\mu(\ln x)^\rho$, $\rho=0, 1, 2$, on $[0, \infty)$ with respect to the Confluent Hypergeometric function $\phi(a - n, c;x)$, $n = 0, 1, 2, \cdots$, are explicitly evaluated.
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Gauss quadrature approximations to hypergeometric and confluent hypergeometric functions
Journal of Computational and Applied Mathematics, 2002 AbstractIntegral representations of hypergeometric and confluent hypergeometric functions with real parameters and complex arguments are used to approximate these functions by Gaussian quadrature. An analysis is given of the errors involved and of estimates of the number of Gauss points required to achieve any given accuracy.
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EXTENSION OF EXTENDED BETA, HYPERGEOMETRIC AND CONFLUENT HYPERGEOMETRIC FUNCTIONS
Honam Mathematical Journal, 2014 Recently several authors have extended the Gamma function, Beta function, the hypergeometric function, and the con-fluent hypergeometric function by using their integral representa-tions and provided many interesting properties of their extended functions.
Arjun K. Rathie +2 more
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