Exclusive roles have been played by special functions in applied mathematics. It is not astonishing when new classes of special functions are established as the issues associated with special functions are too immense. In this article, the generalized form of hybrid Bessel functions is introduced by using suitable integral transforms and properties of exponential operators. Certain properties including generating function, series definition, operational rule and integral representation of the generalized form of hybrid Bessel functions are derived.

中文翻译：

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通过积分变换的新型混合贝塞尔函数

应用数学中的特殊功能已经发挥了排他性的作用。当建立新的特殊功能类别时，这并不令人惊讶，因为与特殊功能相关的问题过于庞大。在本文中，通过使用适当的积分变换和指数算子的性质，介绍了混合贝塞尔函数的广义形式。推导了某些特性，包括生成函数，系列定义，操作规则和混合贝塞尔函数广义形式的积分表示。