𝙎𝙋𝙀𝘾𝙄𝘼𝙇 𝙄𝙎𝙎𝙐𝙀 𝙤𝙣 𝙍𝙚𝙘𝙚𝙣𝙩 𝘼𝙙𝙫𝙖𝙣𝙘𝙚𝙢𝙚𝙣𝙩𝙨 𝙞𝙣 𝙎𝙥𝙚𝙘𝙞𝙖𝙡 𝙁𝙪𝙣𝙘𝙩𝙞𝙤𝙣 𝙏𝙝𝙚𝙤𝙧𝙮, 𝘽𝙤𝙪𝙣𝙙𝙖𝙧𝙮 𝙑𝙖𝙡𝙪𝙚 𝙋𝙧𝙤𝙗𝙡𝙚𝙢𝙨, 𝙖𝙣𝙙 𝙋𝙖𝙧𝙩𝙞𝙖𝙡 𝘿𝙞𝙛𝙛𝙚𝙧𝙚𝙣𝙩𝙞𝙖𝙡 𝙀𝙦𝙪𝙖𝙩𝙞𝙤𝙣𝙨

Over the last thirty years, the theory of generalized special functions has demonstrated its significance across a broad spectrum of disciplines, from theoretical mathematics to applied sciences. This field has evolved as a generalization of classical special function theory in the complex plane to higher dimensions and has become a refined extension of harmonic analysis. There exist multiple approaches to these generalizations, notably the theory of matrix functions and Clifford algebras, leading to the field known as Clifford analysis. A prime example is quaternionic analysis, which is particularly well-suited for addressing three- and four-dimensional structures.
One of the most profound applications of special function theory is its interplay with boundary value problems (BVPs) and partial differential equations (PDEs). These functions frequently serve as solutions or transformation tools for PDEs appearing in mathematical physics, engineering, and applied sciences. Particularly, monogenic functions, derived from first-order PDEs like the Cauchy-Riemann or Dirac equations, play an essential role in solving fundamental equations such as the Laplace, Helmholtz, Maxwell, Schrödinger, and Navier-Stokes equations.

This special issue in 𝗗𝗘𝗠𝗢𝗡𝗦𝗧𝗥𝗔𝗧𝗜𝗢 𝗠𝗔𝗧𝗛𝗘𝗠𝗔𝗧𝗜𝗖𝗔 (𝗜𝗙 𝟮𝟬𝟮𝟯: 𝟮.𝟬) aims to highlight cutting-edge research in these areas, with a particular focus on the existence and regularity of solutions to PDEs. These considerations are crucial for theoretical advancements as well as practical applications in mathematical modeling, physics, and engineering.
Authors are requested to submit their full revised papers complying the general scope of the journal. The submitted papers will undergo the standard peer-review process before they can be accepted. Notification of acceptance will be communicated as we progress with the review process.

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𝙂𝙐𝙀𝙎𝙏 𝙀𝘿𝙄𝙏𝙊𝙍𝙎

Davron Aslonqulovich Juraev (University of Economics and Pedagogy, Karshi, Uzbekistan)
Rakib Efendiev (Baku Engineering University, Baku, Azerbaijan),
Mohammed Kbiri Alaoui (King Khalid University, Abha, Saudi Arabia),
Mohamed Abdalla (King Khalid University, Abha, Saudi Arabia)

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𝘿𝙀𝘼𝘿𝙇𝙄𝙉𝙀

The deadline for submissions is 𝗗𝗘𝗖𝗘𝗠𝗕𝗘𝗥 𝟯𝟭, 𝟮𝟬𝟮𝟱, but individual papers will be reviewed and published online on an ongoing basis.

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𝙃𝙊𝙒 𝙏𝙊 𝙎𝙐𝘽𝙈𝙄𝙏

All submissions to the Special Issue must be made electronically via the online submission system Editorial Manager

𝐡𝐭𝐭𝐩://𝐰𝐰𝐰.𝐞𝐝𝐢𝐭𝐨𝐫𝐢𝐚𝐥𝐦𝐚𝐧𝐚𝐠𝐞𝐫.𝐜𝐨𝐦/𝐝𝐞𝐦𝐚

Please, choose the category “𝙎𝙋𝙀𝘾𝙄𝘼𝙡 𝙄𝙎𝙎𝙐𝙀 𝙤𝙣 𝙍𝙚𝙘𝙚𝙣𝙩 𝘼𝙙𝙫𝙖𝙣𝙘𝙚𝙢𝙚𝙣𝙩𝙨 𝙞𝙣 𝙎𝙥𝙚𝙘𝙞𝙖𝙡 𝙁𝙪𝙣𝙘𝙩𝙞𝙤𝙣 𝙏𝙝𝙚𝙤𝙧𝙮, 𝘽𝙤𝙪𝙣𝙙𝙖𝙧𝙮 𝙑𝙖𝙡𝙪𝙚 𝙋𝙧𝙤𝙗𝙡𝙚𝙢𝙨, 𝙖𝙣𝙙 𝙋𝘿𝙀
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𝘾𝙊𝙉𝙏𝘼𝘾𝙏

𝐝𝐞𝐦𝐨𝐧𝐬𝐭𝐫𝐚𝐭𝐢𝐨.𝐞𝐝𝐢𝐭𝐨𝐫𝐢𝐚𝐥@𝐝𝐞𝐠𝐫𝐮𝐲𝐭𝐞𝐫.𝐜𝐨𝐦

𝐀𝐬𝐬𝐢𝐬𝐭𝐚𝐧𝐭𝐌𝐚𝐧𝐚𝐠𝐢𝐧𝐠𝐄𝐝𝐢𝐭𝐨𝐫@𝐝𝐞𝐠𝐫𝐮𝐲𝐭𝐞𝐫.𝐜𝐨𝐦

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𝙁𝙤𝙧 𝙢𝙤𝙧𝙚 𝙞𝙣𝙛𝙤𝙧𝙢𝙖𝙩𝙞𝙤𝙣, 𝙥𝙡𝙚𝙖𝙨𝙚 𝙫𝙞𝙨𝙞𝙩 𝙤𝙪𝙧 𝙬𝙚𝙗𝙨𝙞𝙩𝙚.

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