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Plant Biotechnology Journal, Volume 24, Issue 5, Page 2876-2890, May 2026.ABSTRACT The synthesis and accumulation of active ingredients in medicinal plants are distributed in specific organs, tissues, and cell types, which are important for the exploitation of medicinal plants. However, the fine distribution of active ingredients is difficult to know. Here, the system of mass spectrometry imaging (MSI) integrated with single‐
HaiSheng Zeng +14 more
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Self‐Affine Scaling of Earth's Islands
Geophysical Research Letters, Volume 53, Issue 8, 28 April 2026.Abstract Earth's relief is approximately self‐affine, meaning a zoom‐in on a small region looks statistically similar to a large region upon rescaling. Fractional Brownian surfaces give an idealized self‐affine model of Earth's relief with one parameter, the Hurst exponent H $H$, characterizing the roughness of the surface.
Matthew Oline +4 more
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Two dimensional Laplace transforms of generalized hypergeometric functions
International Journal of Mathematics and Mathematical Sciences, 1988 The object of this paper is to obtain new operational relations between the original and the image functions that involve generalized hypergeometric G-functions.
R. S. Dahiya, I. H. Jowhar
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Partial Differential Equations in Applied MathematicsIn this paper we apply the Riemann–Liouville, Erdelyi–Kober and Caputo fractional operators to the modified beta, modified Gauss hypergeometric and modified confluent hypergeometric functions in which the generalized M-series are included in their ...
Enes Ata +4 more
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MathematicsInvestigation of the generalized trigonometric and hyperbolic functions containing two parameters has been a very active research area over the last decade.
Dmitrii Karp, Elena Prilepkina
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MathematicsA sequence of n trials from a finite population with no replacement is described by the hypergeometric distribution as the number of successes. Calculating the likelihood that factory-produced items would be defective is one of the most popular uses of ...
Tariq Al-Hawary +2 more
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Inequalities for generalized hypergeometric functions
Journal of Approximation Theory, 1972 AbstractIt is shown that some well-known Padé approximations for a particular form of the Gaussian hypergeometric function and two of its confluent forms give upper and lower bounds for these functions under suitable restrictions on the parameters and variable.
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On Summations of Generalized Hypergeometric Functions with Integral Parameter Differences
MathematicsIn this paper, we present an extension of the Karlsson–Minton summation formula for a generalized hypergeometric function with integral parameter differences.
Kirill Bakhtin, Elena Prilepkina
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Value of Generalized Hypergeometric Function at Unity [PDF]
, 1997 Value of generalized hypergeometric function at a special point is calculated. More precisely, value of certain multiple integral over vanishing cycle (all arguments collapse to unity) is calculated. The answer is expressed in terms of $ $-functions.
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Results in EngineeringThis work presents the development of parallel computing algorithms for special mathematical function used in fractional calculus. A systematic and step-by-step procedure is proposed for parallelization of computation of Gamma function, 1-, 2-, 3-, and 4-
Chaitanya S. Jage +2 more
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