. . "RIV/00216305:26220/08:PU88398" . . . . . "P(GA201/07/0145), P(KJB100190701), Z(AV0Z10190503), Z(MSM0021630503)" . . . . "10"^^ . . "Journal of Physics A-Mathematical and Theoretical" . . . "2"^^ . "26220" . . "495203" . "391153" . "[713BACAEABD9]" . . "V\u00EDtovec, Ji\u0159\u00ED" . . "1"^^ . "We introduce the concept of $q$-regularly varying functions and establish basic properties of such functions. Among others it is shown that considering regular variation in $q$-calculus is somehow natural and leads to interesting observations and simplifications comparing with classical continuous and discrete theories. The obtained theory is applied to an investigation of asymptotic behavior of solutions to linear second order $q$-difference equations." . "\u0158eh\u00E1k, Pavel" . . "RIV/00216305:26220/08:PU88398!RIV15-GA0-26220___" . "We introduce the concept of $q$-regularly varying functions and establish basic properties of such functions. Among others it is shown that considering regular variation in $q$-calculus is somehow natural and leads to interesting observations and simplifications comparing with classical continuous and discrete theories. The obtained theory is applied to an investigation of asymptotic behavior of solutions to linear second order $q$-difference equations."@en . "q-regular variation and q-difference equations" . "GB - Spojen\u00E9 kr\u00E1lovstv\u00ED Velk\u00E9 Brit\u00E1nie a Severn\u00EDho Irska" . . . . "q-calculus, regularly varying function, q-difference equation, asymptotic behavior"@en . "q-regular variation and q-difference equations"@en . . "q-regular variation and q-difference equations" . "41" . "q-regular variation and q-difference equations"@en . "1751-8113" .