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{ "item_title" : "Aleph Function", "item_author" : [" Nancy Solanki", "J. K. Navis Vigilia "], "item_description" : "In this book we present some more general properties and their applications of Aleph function which is more general extension of Saxena I-function. The usefulness and the importance of the Marichev-Saigo-Maeda fractional integral operators, many authors have presented a number of interesting integral formulas involving special functions by using the Marichev-Saigo-Maeda fractional integral operator. By virtue of the unified nature of Marichev-Saigo-Maeda fractional integral operators, a large number of new and known results involving Saigo, Riemann-Liouville and Erd lyi-Kober fractional integral operators follow as special cases of our main formulas. All the results derived here are of general character and can yield a number of results in the theory of fractional calculus. A variant of such operators (integral transforms) was introduced by Marichev as Mellin type convolution operators with a special function \(F_{3}(\cdot)\) in the kernel. These operators were rediscovered and studied by Saigo as a generalization of the so-called Saigo fractional integral operators.", "item_img_path" : "https://covers3.booksamillion.com/covers/bam/6/20/841/670/6208416701_b.jpg", "price_data" : { "retail_price" : "93.00", "online_price" : "93.00", "our_price" : "93.00", "club_price" : "93.00", "savings_pct" : "0", "savings_amt" : "0.00", "club_savings_pct" : "0", "club_savings_amt" : "0.00", "discount_pct" : "10", "store_price" : "" } }
Aleph Function|Nancy Solanki

Aleph Function : Properties and Their Applications

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Overview

In this book we present some more general properties and their applications of Aleph function which is more general extension of Saxena I-function. The usefulness and the importance of the Marichev-Saigo-Maeda fractional integral operators, many authors have presented a number of interesting integral formulas involving special functions by using the Marichev-Saigo-Maeda fractional integral operator. By virtue of the unified nature of Marichev-Saigo-Maeda fractional integral operators, a large number of new and known results involving Saigo, Riemann-Liouville and Erd lyi-Kober fractional integral operators follow as special cases of our main formulas. All the results derived here are of general character and can yield a number of results in the theory of fractional calculus. A variant of such operators (integral transforms) was introduced by Marichev as Mellin type convolution operators with a special function \(F_{3}(\cdot)\) in the kernel. These operators were rediscovered and studied by Saigo as a generalization of the so-called Saigo fractional integral operators.

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Details

  • ISBN-13: 9786208416706
  • ISBN-10: 6208416701
  • Publisher: LAP Lambert Academic Publishing
  • Publish Date: July 2025
  • Dimensions: 9 x 6 x 0.38 inches
  • Shipping Weight: 0.5 pounds
  • Page Count: 164

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